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189987936 = 25312715583
BaseRepresentation
bin10110101001011…
…11110001100000
3111020111101110020
423110233301200
5342114103221
630504033440
74464604455
oct1324576140
9436441406
10189987936
1198274826
1253762880
13304900c8
141b33782c
1511a2cac6
hexb52fc60

189987936 has 48 divisors (see below), whose sum is σ = 502677504. Its totient is φ = 62826624.

The previous prime is 189987911. The next prime is 189987943. The reversal of 189987936 is 639789981.

189987936 is digitally balanced in base 2, 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 189987936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4401 + ... + 19983.

It is an arithmetic number, because the mean of its divisors is an integer number (10472448).

Almost surely, 2189987936 is an apocalyptic number.

189987936 is a gapful number since it is divisible by the number (16) 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 189987936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251338752).

189987936 is an abundant number, since it is smaller than the sum of its proper divisors (312689568).

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

189987936 is a wasteful number, since it uses less digits than its factorization.

189987936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15723 (or 15715 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 60.

The square root of 189987936 is about 13783.6111378695. The cubic root of 189987936 is about 574.8775401467.

The spelling of 189987936 in words is "one hundred eighty-nine million, nine hundred eighty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 6096 12192 15583 31166 46749 62332 93498 124664 186996 249328 373992 498656 747984 1495968 1979041 3958082 5937123 7916164 11874246 15832328 23748492 31664656 47496984 63329312 94993968 189987936