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190357920 = 25325163811
BaseRepresentation
bin10110101100010…
…10000110100000
3111021012011222100
423112022012200
5342212423140
630520010400
74501005234
oct1326120640
9437164870
10190357920
11984a77a5
1253900a00
133058c62c
141b3d25c4
1511aa2530
hexb58a1a0

190357920 has 144 divisors (see below), whose sum is σ = 654387552. Its totient is φ = 50388480.

The previous prime is 190357907. The next prime is 190357931. The reversal of 190357920 is 29753091.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1903579202 = 72472275413452800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234315 + ... + 235125.

It is an arithmetic number, because the mean of its divisors is an integer number (4544358).

Almost surely, 2190357920 is an apocalyptic number.

190357920 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 190357920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327193776).

190357920 is an abundant number, since it is smaller than the sum of its proper divisors (464029632).

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

190357920 is a wasteful number, since it uses less digits than its factorization.

190357920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 190357920 is about 13797.0257664469. The cubic root of 190357920 is about 575.2504718482.

The spelling of 190357920 in words is "one hundred ninety million, three hundred fifty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 163 180 240 288 326 360 480 489 652 720 811 815 978 1304 1440 1467 1622 1630 1956 2433 2445 2608 2934 3244 3260 3912 4055 4866 4890 5216 5868 6488 6520 7299 7335 7824 8110 9732 9780 11736 12165 12976 13040 14598 14670 15648 16220 19464 19560 23472 24330 25952 26080 29196 29340 32440 36495 38928 39120 46944 48660 58392 58680 64880 72990 77856 78240 97320 116784 117360 129760 132193 145980 194640 233568 234720 264386 291960 389280 396579 528772 583920 660965 793158 1057544 1167840 1189737 1321930 1586316 1982895 2115088 2379474 2643860 3172632 3965790 4230176 4758948 5287720 5948685 6345264 7931580 9517896 10575440 11897370 12690528 15863160 19035792 21150880 23794740 31726320 38071584 47589480 63452640 95178960 190357920