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970395972 = 2237132174021
BaseRepresentation
bin111001110101110…
…001000101000100
32111121222020000120
4321311301011010
53441410132342
6240142541540
733022141530
oct7165610504
92447866016
10970395972
11458843947
12230b978b0
13126073500
1492c42bc0
155a2d4aec
hex39d71144

970395972 has 144 divisors (see below), whose sum is σ = 2967656832. Its totient is φ = 240814080.

The previous prime is 970395971. The next prime is 970395997. The reversal of 970395972 is 279593079.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (970395971) 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, 239322 + ... + 243342.

It is an arithmetic number, because the mean of its divisors is an integer number (20608728).

Almost surely, 2970395972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970395972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483828416).

970395972 is an abundant number, since it is smaller than the sum of its proper divisors (1997260860).

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

970395972 is a wasteful number, since it uses less digits than its factorization.

970395972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4078 (or 4063 counting only the distinct ones).

The product of its (nonzero) digits is 1071630, while the sum is 51.

The square root of 970395972 is about 31151.1793035192. The cubic root of 970395972 is about 990.0329792095.

The spelling of 970395972 in words is "nine hundred seventy million, three hundred ninety-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 51 52 68 78 84 91 102 119 156 169 182 204 221 238 273 338 357 364 442 476 507 546 663 676 714 884 1014 1092 1183 1326 1428 1547 2028 2366 2652 2873 3094 3549 4021 4641 4732 5746 6188 7098 8042 8619 9282 11492 12063 14196 16084 17238 18564 20111 24126 28147 34476 40222 48252 52273 56294 60333 68357 80444 84441 104546 112588 120666 136714 156819 168882 205071 209092 241332 273428 313638 337764 365911 410142 478499 627276 679549 731822 820284 888641 956998 1097733 1359098 1435497 1463644 1777282 1913996 2038647 2195466 2665923 2718196 2870994 3554564 4077294 4390932 4756843 5331846 5741988 6220487 8154588 9513686 10663692 11552333 12440974 14270529 18661461 19027372 23104666 24881948 28541058 34656999 37322922 46209332 57082116 69313998 74645844 80866331 138627996 161732662 242598993 323465324 485197986 970395972