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3742620 = 2235721967
BaseRepresentation
bin1110010001101110011100
321001010220120
432101232130
51424230440
6212114540
743545300
oct16215634
97033816
103742620
112126982
121305a50
13a1068b
146d5d00
154dddd0
hex391b9c

3742620 has 144 divisors (see below), whose sum is σ = 13023360. Its totient is φ = 798336.

The previous prime is 3742579. The next prime is 3742621. The reversal of 3742620 is 262473.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3742621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55827 + ... + 55893.

It is an arithmetic number, because the mean of its divisors is an integer number (90440).

Almost surely, 23742620 is an apocalyptic number.

3742620 is a gapful number since it is divisible by the number (30) 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 3742620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6511680).

3742620 is an abundant number, since it is smaller than the sum of its proper divisors (9280740).

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

3742620 is a wasteful number, since it uses less digits than its factorization.

3742620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 3742620 is about 1934.5852268639. The cubic root of 3742620 is about 155.2596411406.

The spelling of 3742620 in words is "three million, seven hundred forty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 49 57 60 67 70 76 84 95 98 105 114 133 134 140 147 190 196 201 210 228 245 266 268 285 294 335 380 399 402 420 469 490 532 570 588 665 670 735 798 804 931 938 980 1005 1140 1273 1330 1340 1407 1470 1596 1862 1876 1995 2010 2345 2546 2660 2793 2814 2940 3283 3724 3819 3990 4020 4655 4690 5092 5586 5628 6365 6566 7035 7638 7980 8911 9310 9380 9849 11172 12730 13132 13965 14070 15276 16415 17822 18620 19095 19698 25460 26733 27930 28140 32830 35644 38190 39396 44555 49245 53466 55860 62377 65660 76380 89110 98490 106932 124754 133665 178220 187131 196980 249508 267330 311885 374262 534660 623770 748524 935655 1247540 1871310 3742620