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190273920 = 2735113877
BaseRepresentation
bin10110101011101…
…01100110000000
3111021000220202020
423111311212000
5342202231140
630514121440
74500205314
oct1325654600
9437026666
10190273920
119844a681
1253880280
1330560325
141b3adb44
1511a876d0
hexb575980

190273920 has 128 divisors (see below), whose sum is σ = 612563040. Its totient is φ = 50233344.

The previous prime is 190273913. The next prime is 190273921. The reversal of 190273920 is 29372091.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190273921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216522 + ... + 217398.

Almost surely, 2190273920 is an apocalyptic number.

190273920 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 190273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306281520).

190273920 is an abundant number, since it is smaller than the sum of its proper divisors (422289120).

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

190273920 is a wasteful number, since it uses less digits than its factorization.

190273920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 190273920 is about 13793.9812962031. The cubic root of 190273920 is about 575.1658450410.

The spelling of 190273920 in words is "one hundred ninety million, two hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 113 120 128 160 192 226 240 320 339 384 452 480 565 640 678 877 904 960 1130 1356 1695 1754 1808 1920 2260 2631 2712 3390 3508 3616 4385 4520 5262 5424 6780 7016 7232 8770 9040 10524 10848 13155 13560 14032 14464 17540 18080 21048 21696 26310 27120 28064 35080 36160 42096 43392 52620 54240 56128 70160 72320 84192 99101 105240 108480 112256 140320 168384 198202 210480 216960 280640 297303 336768 396404 420960 495505 561280 594606 792808 841920 991010 1189212 1486515 1585616 1683840 1982020 2378424 2973030 3171232 3964040 4756848 5946060 6342464 7928080 9513696 11892120 12684928 15856160 19027392 23784240 31712320 38054784 47568480 63424640 95136960 190273920