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3996133620 = 2235234367343
BaseRepresentation
bin1110111000110000…
…0010100011110100
3101022111102121202220
43232030002203310
531141002233440
61500311002340
7201012401223
oct35614024364
911274377686
103996133620
111770793376
129363693b0
134b8b9990b
1429ca28cba
15185c5e8d0
hexee3028f4

3996133620 has 96 divisors (see below), whose sum is σ = 11947364352. Its totient is φ = 995584128.

The previous prime is 3996133573. The next prime is 3996133621. The reversal of 3996133620 is 263316993.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3996133621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25669 + ... + 93011.

It is an arithmetic number, because the mean of its divisors is an integer number (124451712).

Almost surely, 23996133620 is an apocalyptic number.

3996133620 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 3996133620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5973682176).

3996133620 is an abundant number, since it is smaller than the sum of its proper divisors (7951230732).

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

3996133620 is a wasteful number, since it uses less digits than its factorization.

3996133620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67421 (or 67419 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 42.

The square root of 3996133620 is about 63214.9793957097. The cubic root of 3996133620 is about 1586.8894291155.

The spelling of 3996133620 in words is "three billion, nine hundred ninety-six million, one hundred thirty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 43 46 60 69 86 92 115 129 138 172 215 230 258 276 345 430 460 516 645 690 860 989 1290 1380 1978 2580 2967 3956 4945 5934 9890 11868 14835 19780 29670 59340 67343 134686 202029 269372 336715 404058 673430 808116 1010145 1346860 1548889 2020290 2895749 3097778 4040580 4646667 5791498 6195556 7744445 8687247 9293334 11582996 14478745 15488890 17374494 18586668 23233335 28957490 30977780 34748988 43436235 46466670 57914980 66602227 86872470 92933340 133204454 173744940 199806681 266408908 333011135 399613362 666022270 799226724 999033405 1332044540 1998066810 3996133620