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97139280 = 2435767863
BaseRepresentation
bin1011100101000…
…11101001010000
320202210012001010
411302203221100
5144331424110
613350010520
72256445620
oct562435120
9222705033
1097139280
114a9181a7
1228646a40
1317181684
14cc88880
1587dc020
hex5ca3a50

97139280 has 160 divisors (see below), whose sum is σ = 349691904. Its totient is φ = 21846528.

The previous prime is 97139257. The next prime is 97139293. The reversal of 97139280 is 8293179.

It is a nialpdrome in base 14.

It is a congruent number.

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, 112129 + ... + 112991.

Almost surely, 297139280 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 97139280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174845952).

97139280 is an abundant number, since it is smaller than the sum of its proper divisors (252552624).

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

97139280 is a wasteful number, since it uses less digits than its factorization.

97139280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 97139280 is about 9855.9261360869. The cubic root of 97139280 is about 459.6898981169.

The spelling of 97139280 in words is "ninety-seven million, one hundred thirty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 67 70 80 84 105 112 120 134 140 168 201 210 240 268 280 335 336 402 420 469 536 560 670 804 840 863 938 1005 1072 1340 1407 1608 1680 1726 1876 2010 2345 2589 2680 2814 3216 3452 3752 4020 4315 4690 5178 5360 5628 6041 6904 7035 7504 8040 8630 9380 10356 11256 12082 12945 13808 14070 16080 17260 18123 18760 20712 22512 24164 25890 28140 30205 34520 36246 37520 41424 48328 51780 56280 57821 60410 69040 72492 90615 96656 103560 112560 115642 120820 144984 173463 181230 207120 231284 241640 289105 289968 346926 362460 404747 462568 483280 578210 693852 724920 809494 867315 925136 1156420 1214241 1387704 1449840 1618988 1734630 2023735 2312840 2428482 2775408 3237976 3469260 4047470 4625680 4856964 6071205 6475952 6938520 8094940 9713928 12142410 13877040 16189880 19427856 24284820 32379760 48569640 97139280