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96973440 = 2735172971
BaseRepresentation
bin1011100011110…
…11001010000000
320202110202112220
411301323022000
5144311122230
613342251040
72255155254
oct561731200
9222422486
1096973440
114a814643
1228586a80
1317124045
14cc44264
1587a7d10
hex5c7b280

96973440 has 128 divisors (see below), whose sum is σ = 327395520. Its totient is φ = 24330240.

The previous prime is 96973417. The next prime is 96973453. The reversal of 96973440 is 4437969.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 96973392 and 96973401.

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, 31155 + ... + 34125.

Almost surely, 296973440 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 96973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163697760).

96973440 is an abundant number, since it is smaller than the sum of its proper divisors (230422080).

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

96973440 is a wasteful number, since it uses less digits than its factorization.

96973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 96973440 is about 9847.5093297747. The cubic root of 96973440 is about 459.4281488785.

The spelling of 96973440 in words is "ninety-six million, nine hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 2971 3264 4080 5440 5942 6528 8160 8913 10880 11884 14855 16320 17826 23768 29710 32640 35652 44565 47536 50507 59420 71304 89130 95072 101014 118840 142608 151521 178260 190144 202028 237680 252535 285216 303042 356520 380288 404056 475360 505070 570432 606084 713040 757605 808112 950720 1010140 1140864 1212168 1426080 1515210 1616224 1901440 2020280 2424336 2852160 3030420 3232448 4040560 4848672 5704320 6060840 6464896 8081120 9697344 12121680 16162240 19394688 24243360 32324480 48486720 96973440