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669429540 = 2232513523547
BaseRepresentation
bin100111111001101…
…010111100100100
31201122122112200200
4213321222330210
52332333221130
6150232110500
722406025423
oct4771527444
91648575620
10669429540
1131396a35a
12168235430
13a88c7870
1464c9b2ba
153db84760
hex27e6af24

669429540 has 144 divisors (see below), whose sum is σ = 2194989888. Its totient is φ = 164166912.

The previous prime is 669429529. The next prime is 669429569. The reversal of 669429540 is 45924966.

669429540 is a `hidden beast` number, since 6 + 69 + 42 + 9 + 540 = 666.

It is a super-2 number, since 2×6694295402 = 896271818049223200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1223547 + ... + 1224093.

Almost surely, 2669429540 is an apocalyptic number.

669429540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 669429540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097494944).

669429540 is an abundant number, since it is smaller than the sum of its proper divisors (1525560348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

669429540 is a wasteful number, since it uses less digits than its factorization.

669429540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 669429540 is about 25873.3364682640. The cubic root of 669429540 is about 874.7855975370.

The spelling of 669429540 in words is "six hundred sixty-nine million, four hundred twenty-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 523 547 585 780 1046 1094 1170 1569 1641 2092 2188 2340 2615 2735 3138 3282 4707 4923 5230 5470 6276 6564 6799 7111 7845 8205 9414 9846 10460 10940 13598 14222 15690 16410 18828 19692 20397 21333 23535 24615 27196 28444 31380 32820 33995 35555 40794 42666 47070 49230 61191 63999 67990 71110 81588 85332 94140 98460 101985 106665 122382 127998 135980 142220 203970 213330 244764 255996 286081 305955 319995 407940 426660 572162 611910 639990 858243 1144324 1223820 1279980 1430405 1716486 2574729 2860810 3432972 3719053 4291215 5149458 5721620 7438106 8582430 10298916 11157159 12873645 14876212 17164860 18595265 22314318 25747290 33471477 37190530 44628636 51494580 55785795 66942954 74381060 111571590 133885908 167357385 223143180 334714770 669429540