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3993769920 = 26357594311
BaseRepresentation
bin1110111000001100…
…0001011111000000
3101022022222112101110
43232003001133000
531134401114140
61500144203320
7200653325040
oct35603013700
911268875343
103993769920
11176a4194a8
12935609540
134b854ca8a
1429c5b1720
15185944380
hexee0c17c0

3993769920 has 112 divisors (see below), whose sum is σ = 14491703808. Its totient is φ = 912860160.

The previous prime is 3993769859. The next prime is 3993769937. The reversal of 3993769920 is 299673993.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290436 + ... + 303875.

Almost surely, 23993769920 is an apocalyptic number.

3993769920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3993769920 is an abundant number, since it is smaller than the sum of its proper divisors (10497933888).

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

3993769920 is a wasteful number, since it uses less digits than its factorization.

3993769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594338 (or 594328 counting only the distinct ones).

The product of its (nonzero) digits is 4960116, while the sum is 57.

The square root of 3993769920 is about 63196.2809032304. The cubic root of 3993769920 is about 1586.5764874325.

The spelling of 3993769920 in words is "three billion, nine hundred ninety-three million, seven hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 594311 1188622 1782933 2377244 2971555 3565866 4160177 4754488 5943110 7131732 8320354 8914665 9508976 11886220 12480531 14263464 16640708 17829330 19017952 20800885 23772440 24961062 28526928 33281416 35658660 38035904 41601770 47544880 49922124 57053856 62402655 66562832 71317320 83203540 95089760 99844248 114107712 124805310 133125664 142634640 166407080 190179520 199688496 249610620 266251328 285269280 332814160 399376992 499221240 570538560 665628320 798753984 998442480 1331256640 1996884960 3993769920