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97213120 = 2651959271
BaseRepresentation
bin1011100101101…
…01101011000000
320202220221022221
411302311223000
5144341304440
613351340424
72260204114
oct562655300
9222827287
1097213120
114a968724
1228681714
13171a9174
14cca7744
158803d4a
hex5cb5ac0

97213120 has 112 divisors (see below), whose sum is σ = 248716800. Its totient is φ = 36080640.

The previous prime is 97213093. The next prime is 97213159. The reversal of 97213120 is 2131279.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358585 + ... + 358855.

Almost surely, 297213120 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 97213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124358400).

97213120 is an abundant number, since it is smaller than the sum of its proper divisors (151503680).

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

97213120 is a wasteful number, since it uses less digits than its factorization.

97213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 97213120 is about 9859.6713941186. The cubic root of 97213120 is about 459.8063457066.

Adding to 97213120 its reverse (2131279), we get a palindrome (99344399).

The spelling of 97213120 in words is "ninety-seven million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 59 64 76 80 95 118 152 160 190 236 271 295 304 320 380 472 542 590 608 760 944 1084 1121 1180 1216 1355 1520 1888 2168 2242 2360 2710 3040 3776 4336 4484 4720 5149 5420 5605 6080 8672 8968 9440 10298 10840 11210 15989 17344 17936 18880 20596 21680 22420 25745 31978 35872 41192 43360 44840 51490 63956 71744 79945 82384 86720 89680 102980 127912 159890 164768 179360 205960 255824 303791 319780 329536 358720 411920 511648 607582 639560 823840 1023296 1215164 1279120 1518955 1647680 2430328 2558240 3037910 4860656 5116480 6075820 9721312 12151640 19442624 24303280 48606560 97213120