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190531680 = 25352771433
BaseRepresentation
bin10110101101101…
…00100001100000
3111021112000022220
423112310201200
5342234003210
630523431040
74502330643
oct1326644140
9437460286
10190531680
11986062a9
1253985480
1330620751
141b439a5a
1511ad8c70
hexb5b4860

190531680 has 96 divisors (see below), whose sum is σ = 602761824. Its totient is φ = 50589696.

The previous prime is 190531669. The next prime is 190531681. The reversal of 190531680 is 86135091.

190531680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190531681) 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, 132244 + ... + 133676.

It is an arithmetic number, because the mean of its divisors is an integer number (6278769).

Almost surely, 2190531680 is an apocalyptic number.

190531680 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 190531680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301380912).

190531680 is an abundant number, since it is smaller than the sum of its proper divisors (412230144).

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

190531680 is a wasteful number, since it uses less digits than its factorization.

190531680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 190531680 is about 13803.3213394458. The cubic root of 190531680 is about 575.4254494624.

The spelling of 190531680 in words is "one hundred ninety million, five hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 277 480 554 831 1108 1385 1433 1662 2216 2770 2866 3324 4155 4299 4432 5540 5732 6648 7165 8310 8598 8864 11080 11464 13296 14330 16620 17196 21495 22160 22928 26592 28660 33240 34392 42990 44320 45856 57320 66480 68784 85980 114640 132960 137568 171960 229280 343920 396941 687840 793882 1190823 1587764 1984705 2381646 3175528 3969410 4763292 5954115 6351056 7938820 9526584 11908230 12702112 15877640 19053168 23816460 31755280 38106336 47632920 63510560 95265840 190531680