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96742080 = 2633511197
BaseRepresentation
bin1011100010000…
…10101011000000
320202001000012000
411301002223000
5144231221310
613333304000
72253202611
oct561025300
9222030160
1096742080
114a676836
1228495000
1317072946
14cbc3c08
15875e4c0
hex5c42ac0

96742080 has 112 divisors (see below), whose sum is σ = 341315040. Its totient is φ = 25795584.

The previous prime is 96742069. The next prime is 96742081. The reversal of 96742080 is 8024769.

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

It is not an unprimeable number, because it can be changed into a prime (96742081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3042 + ... + 14238.

Almost surely, 296742080 is an apocalyptic number.

96742080 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 96742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170657520).

96742080 is an abundant number, since it is smaller than the sum of its proper divisors (244572960).

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

96742080 is a wasteful number, since it uses less digits than its factorization.

96742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11223 (or 11207 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 96742080 is about 9835.7551819878. The cubic root of 96742080 is about 459.0624888224.

The spelling of 96742080 in words is "ninety-six million, seven hundred forty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 11197 22394 33591 44788 55985 67182 89576 100773 111970 134364 167955 179152 201546 223940 268728 302319 335910 358304 403092 447880 503865 537456 604638 671820 716608 806184 895760 1007730 1074912 1209276 1343640 1511595 1612368 1791520 2015460 2149824 2418552 2687280 3023190 3224736 3583040 4030920 4837104 5374560 6046380 6449472 8061840 9674208 10749120 12092760 16123680 19348416 24185520 32247360 48371040 96742080