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1664532540 = 22325112336551
BaseRepresentation
bin110001100110110…
…1100000000111100
311022000010000101100
41203031230000330
511402110020130
6433100413100
756151202356
oct14315540074
94260100340
101664532540
11784648a30
123a5547190
13206b0bac8
1411b0d20d6
159b1e9c60
hex6336c03c

1664532540 has 144 divisors (see below), whose sum is σ = 5747728896. Its totient is φ = 385968000.

The previous prime is 1664532533. The next prime is 1664532599. The reversal of 1664532540 is 452354661.

1664532540 is a `hidden beast` number, since 1 + 6 + 64 + 53 + 2 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1664532495 and 1664532504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27265 + ... + 63815.

It is an arithmetic number, because the mean of its divisors is an integer number (39914784).

Almost surely, 21664532540 is an apocalyptic number.

1664532540 is a gapful number since it is divisible by the number (10) 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 1664532540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873864448).

1664532540 is an abundant number, since it is smaller than the sum of its proper divisors (4083196356).

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

1664532540 is a wasteful number, since it uses less digits than its factorization.

1664532540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36600 (or 36595 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 1664532540 is about 40798.6830669815. The cubic root of 1664532540 is about 1185.1248279547.

The spelling of 1664532540 in words is "one billion, six hundred sixty-four million, five hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 220 230 253 276 330 345 396 414 460 495 506 660 690 759 828 990 1012 1035 1265 1380 1518 1980 2070 2277 2530 3036 3795 4140 4554 5060 7590 9108 11385 15180 22770 36551 45540 73102 109653 146204 182755 219306 328959 365510 402061 438612 548265 657918 731020 804122 840673 1096530 1206183 1315836 1608244 1644795 1681346 2010305 2193060 2412366 2522019 3289590 3362692 3618549 4020610 4203365 4824732 5044038 6030915 6579180 7237098 7566057 8041220 8406730 9247403 10088076 12061830 12610095 14474196 15132114 16813460 18092745 18494806 24123660 25220190 27742209 30264228 36185490 36989612 37830285 46237015 50440380 55484418 72370980 75660570 83226627 92474030 110968836 138711045 151321140 166453254 184948060 277422090 332906508 416133135 554844180 832266270 1664532540