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190840832 = 221713
BaseRepresentation
bin10110110000000…
…00000000000000
3111022002201101222
423120000000000
5342323401312
630534214212
74505056160
oct1330000000
9438081358
10190840832
11987a75a6
1253ab4368
13306cb390
141b4ba5a0
1511b4a672
hexb600000

190840832 has 88 divisors (see below), whose sum is σ = 469761936. Its totient is φ = 75497472.

The previous prime is 190840817. The next prime is 190840847. The reversal of 190840832 is 238048091.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (190840817) and next prime (190840847).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 190840792 and 190840801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14680058 + ... + 14680070.

Almost surely, 2190840832 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 190840832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234880968).

190840832 is an abundant number, since it is smaller than the sum of its proper divisors (278921104).

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

190840832 is an frugal number, since it uses more digits than its factorization.

190840832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 190840832 is about 13814.5152647496. The cubic root of 190840832 is about 575.7365049953.

The spelling of 190840832 in words is "one hundred ninety million, eight hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1024 1456 1664 1792 2048 2912 3328 3584 4096 5824 6656 7168 8192 11648 13312 14336 16384 23296 26624 28672 32768 46592 53248 57344 65536 93184 106496 114688 131072 186368 212992 229376 262144 372736 425984 458752 524288 745472 851968 917504 1048576 1490944 1703936 1835008 2097152 2981888 3407872 3670016 5963776 6815744 7340032 11927552 13631488 14680064 23855104 27262976 47710208 95420416 190840832