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97740216 = 23337127509
BaseRepresentation
bin1011101001101…
…10010110111000
320210220201101000
411310312112320
5200010141331
613410525000
72264530620
oct564662670
9223821330
1097740216
1150198742
1228896760
1317332062
14cda3880
1588aa0e6
hex5d365b8

97740216 has 128 divisors (see below), whose sum is σ = 313344000. Its totient is φ = 27651456.

The previous prime is 97740173. The next prime is 97740217. The reversal of 97740216 is 61204779.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97740217) 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, 191770 + ... + 192278.

It is an arithmetic number, because the mean of its divisors is an integer number (2448000).

Almost surely, 297740216 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 97740216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156672000).

97740216 is an abundant number, since it is smaller than the sum of its proper divisors (215603784).

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

97740216 is a wasteful number, since it uses less digits than its factorization.

97740216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 97740216 is about 9886.3651561127. The cubic root of 97740216 is about 460.6358817674.

The spelling of 97740216 in words is "ninety-seven million, seven hundred forty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 127 168 189 216 252 254 378 381 504 508 509 756 762 889 1016 1018 1143 1512 1524 1527 1778 2036 2286 2667 3048 3054 3429 3556 3563 4072 4572 4581 5334 6108 6858 7112 7126 8001 9144 9162 10668 10689 12216 13716 13743 14252 16002 18324 21336 21378 24003 27432 27486 28504 32004 32067 36648 42756 48006 54972 64008 64134 64643 85512 96012 96201 109944 128268 129286 192024 192402 193929 256536 258572 384804 387858 452501 517144 581787 769608 775716 905002 1163574 1357503 1551432 1745361 1810004 2327148 2715006 3490722 3620008 4072509 4654296 5430012 6981444 8145018 10860024 12217527 13962888 16290036 24435054 32580072 48870108 97740216