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3997252140 = 2235719748311
BaseRepresentation
bin1110111001000001…
…0011101000101100
3101022120112110002120
43232100103220230
531141244032030
61500350552540
7201025040220
oct35620235054
911276473076
103997252140
111771387772
12936808750
134b919ba6b
1429cc3a780
15185dd1010
hexee413a2c

3997252140 has 96 divisors (see below), whose sum is σ = 12856402944. Its totient is φ = 909000960.

The previous prime is 3997252111. The next prime is 3997252157. The reversal of 3997252140 is 412527993.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3997252092 and 3997252101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58585 + ... + 106895.

It is an arithmetic number, because the mean of its divisors is an integer number (133920864).

Almost surely, 23997252140 is an apocalyptic number.

3997252140 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 3997252140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428201472).

3997252140 is an abundant number, since it is smaller than the sum of its proper divisors (8859150804).

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

3997252140 is a wasteful number, since it uses less digits than its factorization.

3997252140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48527 (or 48525 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 3997252140 is about 63223.8257304950. The cubic root of 3997252140 is about 1587.0374723788.

The spelling of 3997252140 in words is "three billion, nine hundred ninety-seven million, two hundred fifty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 197 210 394 420 591 788 985 1182 1379 1970 2364 2758 2955 3940 4137 5516 5910 6895 8274 11820 13790 16548 20685 27580 41370 48311 82740 96622 144933 193244 241555 289866 338177 483110 579732 676354 724665 966220 1014531 1352708 1449330 1690885 2029062 2898660 3381770 4058124 5072655 6763540 9517267 10145310 19034534 20290620 28551801 38069068 47586335 57103602 66620869 95172670 114207204 133241738 142759005 190345340 199862607 266483476 285518010 333104345 399725214 571036020 666208690 799450428 999313035 1332417380 1998626070 3997252140