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192990720 = 2935131933
BaseRepresentation
bin10111000000011…
…00111000000000
3111110010221111110
423200030320000
5343401200340
631052243320
74532252106
oct1340147000
9443127443
10192990720
1199a3586a
1254770540
1330ca1ac0
141b8b9c76
1511e22680
hexb80ce00

192990720 has 160 divisors (see below), whose sum is σ = 664769952. Its totient is φ = 47480832.

The previous prime is 192990703. The next prime is 192990727. The reversal of 192990720 is 27099291.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1929907202 = 74490836012236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192990727) 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, 98874 + ... + 100806.

Almost surely, 2192990720 is an apocalyptic number.

192990720 is a gapful number since it is divisible by the number (10) 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 192990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332384976).

192990720 is an abundant number, since it is smaller than the sum of its proper divisors (471779232).

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

192990720 is a wasteful number, since it uses less digits than its factorization.

192990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 192990720 is about 13892.1099909265. The cubic root of 192990720 is about 577.8903940027.

The spelling of 192990720 in words is "one hundred ninety-two million, nine hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 512 520 624 640 768 780 832 960 1040 1248 1280 1536 1560 1664 1920 1933 2080 2496 2560 3120 3328 3840 3866 4160 4992 5799 6240 6656 7680 7732 8320 9665 9984 11598 12480 15464 16640 19330 19968 23196 24960 25129 28995 30928 33280 38660 46392 49920 50258 57990 61856 75387 77320 92784 99840 100516 115980 123712 125645 150774 154640 185568 201032 231960 247424 251290 301548 309280 371136 376935 402064 463920 494848 502580 603096 618560 742272 753870 804128 927840 989696 1005160 1206192 1237120 1484544 1507740 1608256 1855680 2010320 2412384 2474240 2969088 3015480 3216512 3711360 4020640 4824768 4948480 6030960 6433024 7422720 8041280 9649536 12061920 12866048 14845440 16082560 19299072 24123840 32165120 38598144 48247680 64330240 96495360 192990720