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97119680 = 2657191227
BaseRepresentation
bin1011100100111…
…10110111000000
320202202012011012
411302132313000
5144330312210
613345340052
72256334520
oct562366700
9222665135
1097119680
114a9044a9
1228637628
1317175788
14cc81680
1587d6305
hex5c9edc0

97119680 has 112 divisors (see below), whose sum is σ = 266858496. Its totient is φ = 32977920.

The previous prime is 97119679. The next prime is 97119707. The reversal of 97119680 is 8691179.

It is a happy number.

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, 427727 + ... + 427953.

Almost surely, 297119680 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 97119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133429248).

97119680 is an abundant number, since it is smaller than the sum of its proper divisors (169738816).

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

97119680 is a wasteful number, since it uses less digits than its factorization.

97119680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 41.

The square root of 97119680 is about 9854.9317602914. The cubic root of 97119680 is about 459.6589784998.

It can be divided in two parts, 9711 and 9680, that added together give a palindrome (19391).

The spelling of 97119680 in words is "ninety-seven million, one hundred nineteen thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 191 224 227 280 320 382 448 454 560 764 908 955 1120 1135 1337 1528 1589 1816 1910 2240 2270 2674 3056 3178 3632 3820 4540 5348 6112 6356 6685 7264 7640 7945 9080 10696 12224 12712 13370 14528 15280 15890 18160 21392 25424 26740 30560 31780 36320 42784 43357 50848 53480 61120 63560 72640 85568 86714 101696 106960 127120 173428 213920 216785 254240 303499 346856 427840 433570 508480 606998 693712 867140 1213996 1387424 1517495 1734280 2427992 2774848 3034990 3468560 4855984 6069980 6937120 9711968 12139960 13874240 19423936 24279920 48559840 97119680