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190930432 = 2971129167
BaseRepresentation
bin10110110000101…
…01111000000000
3111022021021022111
423120111320000
5342334233212
630540145104
74505611330
oct1330257000
9438237274
10190930432
1198858950
1253b38194
13307300b4
141b5010c0
1511b66ea7
hexb615e00

190930432 has 160 divisors (see below), whose sum is σ = 494968320. Its totient is φ = 71393280.

The previous prime is 190930393. The next prime is 190930469. The reversal of 190930432 is 234039091.

It is a junction number, because it is equal to n+sod(n) for n = 190930394 and 190930403.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1143213 + ... + 1143379.

It is an arithmetic number, because the mean of its divisors is an integer number (3093552).

Almost surely, 2190930432 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 190930432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247484160).

190930432 is an abundant number, since it is smaller than the sum of its proper divisors (304037888).

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

190930432 is a wasteful number, since it uses less digits than its factorization.

190930432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 190930432 is about 13817.7578499553. The cubic root of 190930432 is about 575.8265938915.

The spelling of 190930432 in words is "one hundred ninety million, nine hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 64 77 88 112 116 128 154 167 176 203 224 232 256 308 319 334 352 406 448 464 512 616 638 668 704 812 896 928 1169 1232 1276 1336 1408 1624 1792 1837 1856 2233 2338 2464 2552 2672 2816 3248 3584 3674 3712 4466 4676 4843 4928 5104 5344 5632 6496 7348 7424 8932 9352 9686 9856 10208 10688 12859 12992 14696 14848 17864 18704 19372 19712 20416 21376 25718 25984 29392 33901 35728 37408 38744 39424 40832 42752 51436 51968 53273 58784 67802 71456 74816 77488 81664 85504 102872 103936 106546 117568 135604 142912 149632 154976 163328 205744 213092 235136 271208 285824 299264 309952 372911 411488 426184 470272 542416 571648 598528 619904 745822 822976 852368 940544 1084832 1143296 1239808 1491644 1645952 1704736 2169664 2479616 2983288 3291904 3409472 4339328 5966576 6583808 6818944 8678656 11933152 13637888 17357312 23866304 27275776 47732608 95465216 190930432