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96673920 = 273577193
BaseRepresentation
bin1011100001100…
…10000010000000
320201220112200120
411300302002000
5144222031140
613332020240
72252500110
oct560620200
9221815616
1096673920
114a62a602
1228461680
131704a905
14cba7040
1587491d0
hex5c32080

96673920 has 128 divisors (see below), whose sum is σ = 352218240. Its totient is φ = 22093824.

The previous prime is 96673909. The next prime is 96673931. The reversal of 96673920 is 2937669.

It is an interprime number because it is at equal distance from previous prime (96673909) and next prime (96673931).

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

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 9844 + ... + 17036.

It is an arithmetic number, because the mean of its divisors is an integer number (2751705).

Almost surely, 296673920 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 96673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176109120).

96673920 is an abundant number, since it is smaller than the sum of its proper divisors (255544320).

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

96673920 is a wasteful number, since it uses less digits than its factorization.

96673920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7222 (or 7210 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 96673920 is about 9832.2896621286. The cubic root of 96673920 is about 458.9546520860.

The spelling of 96673920 in words is "ninety-six million, six hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 7193 13440 14386 21579 28772 35965 43158 50351 57544 71930 86316 100702 107895 115088 143860 151053 172632 201404 215790 230176 251755 287720 302106 345264 402808 431580 460352 503510 575440 604212 690528 755265 805616 863160 920704 1007020 1150880 1208424 1381056 1510530 1611232 1726320 2014040 2301760 2416848 2762112 3021060 3222464 3452640 4028080 4603520 4833696 6042120 6444928 6905280 8056160 9667392 12084240 13810560 16112320 19334784 24168480 32224640 48336960 96673920