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189800424 = 2332111912613
BaseRepresentation
bin10110101000000…
…01111111101000
3111020010212020100
423110001333220
5342042103144
630500025400
74463164002
oct1324017750
9436125210
10189800424
1198156960
1253692260
1330425958
141b2c9372
15119e2269
hexb501fe8

189800424 has 96 divisors (see below), whose sum is σ = 590335200. Its totient is φ = 54483840.

The previous prime is 189800371. The next prime is 189800431. The reversal of 189800424 is 424008981.

189800424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8742 + ... + 21354.

It is an arithmetic number, because the mean of its divisors is an integer number (6149325).

Almost surely, 2189800424 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 189800424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295167600).

189800424 is an abundant number, since it is smaller than the sum of its proper divisors (400534776).

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

189800424 is a wasteful number, since it uses less digits than its factorization.

189800424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12655 (or 12648 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 189800424 is about 13776.8074676247. The cubic root of 189800424 is about 574.6883493259.

The spelling of 189800424 in words is "one hundred eighty-nine million, eight hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 396 418 456 627 684 792 836 1254 1368 1672 1881 2508 3762 5016 7524 12613 15048 25226 37839 50452 75678 100904 113517 138743 151356 227034 239647 277486 302712 416229 454068 479294 554972 718941 832458 908136 958588 1109944 1248687 1437882 1664916 1917176 2156823 2497374 2636117 2875764 3329832 4313646 4994748 5272234 5751528 7908351 8627292 9989496 10544468 15816702 17254584 21088936 23725053 31633404 47450106 63266808 94900212 189800424