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189380688 = 24372731103
BaseRepresentation
bin10110100100110…
…11100001010000
3111012100112110120
423102123201100
5341440140223
630443030240
74456465200
oct1322334120
9435315416
10189380688
119799a572
125350b380
13303098a3
141b21a400
151195cbe3
hexb49b850

189380688 has 120 divisors (see below), whose sum is σ = 577427328. Its totient is φ = 53319168.

The previous prime is 189380687. The next prime is 189380707. The reversal of 189380688 is 886083981.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 189380688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189380683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171145 + ... + 172247.

Almost surely, 2189380688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189380688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288713664).

189380688 is an abundant number, since it is smaller than the sum of its proper divisors (388046640).

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

189380688 is a wasteful number, since it uses less digits than its factorization.

189380688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The square root of 189380688 is about 13761.5656086072. The cubic root of 189380688 is about 574.2644032727.

The spelling of 189380688 in words is "one hundred eighty-nine million, three hundred eighty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 73 84 98 112 146 147 168 196 219 292 294 336 392 438 511 584 588 784 876 1022 1103 1168 1176 1533 1752 2044 2206 2352 3066 3309 3504 3577 4088 4412 6132 6618 7154 7721 8176 8824 10731 12264 13236 14308 15442 17648 21462 23163 24528 26472 28616 30884 42924 46326 52944 54047 57232 61768 80519 85848 92652 108094 123536 161038 162141 171696 185304 216188 241557 322076 324282 370608 432376 483114 563633 644152 648564 864752 966228 1127266 1288304 1297128 1690899 1932456 2254532 2594256 3381798 3864912 3945431 4509064 6763596 7890862 9018128 11836293 13527192 15781724 23672586 27054384 31563448 47345172 63126896 94690344 189380688