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96557040 = 24325592273
BaseRepresentation
bin1011100000101…
…01011111110000
320201200121100200
411300111133300
5144204311130
613325315200
72251502256
oct560253760
9221617320
1096557040
114a55a808
1228405b00
1317009658
14cb765d6
158724760
hex5c157f0

96557040 has 120 divisors (see below), whose sum is σ = 329911920. Its totient is φ = 25300992.

The previous prime is 96557023. The next prime is 96557047. The reversal of 96557040 is 4075569.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 96556986 and 96557004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96557047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41344 + ... + 43616.

It is an arithmetic number, because the mean of its divisors is an integer number (2749266).

Almost surely, 296557040 is an apocalyptic number.

96557040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96557040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164955960).

96557040 is an abundant number, since it is smaller than the sum of its proper divisors (233354880).

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

96557040 is a wasteful number, since it uses less digits than its factorization.

96557040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 96557040 is about 9826.3441828586. The cubic root of 96557040 is about 458.7696168236.

The spelling of 96557040 in words is "ninety-six million, five hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 59 60 72 80 90 118 120 144 177 180 236 240 295 354 360 472 531 590 708 720 885 944 1062 1180 1416 1770 2124 2273 2360 2655 2832 3540 4248 4546 4720 5310 6819 7080 8496 9092 10620 11365 13638 14160 18184 20457 21240 22730 27276 34095 36368 40914 42480 45460 54552 68190 81828 90920 102285 109104 134107 136380 163656 181840 204570 268214 272760 327312 402321 409140 536428 545520 670535 804642 818280 1072856 1206963 1341070 1609284 1636560 2011605 2145712 2413926 2682140 3218568 4023210 4827852 5364280 6034815 6437136 8046420 9655704 10728560 12069630 16092840 19311408 24139260 32185680 48278520 96557040