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109016832 = 2831931241
BaseRepresentation
bin1100111111101…
…11011100000000
321121010121222110
412133313130000
5210402014312
614452335320
72462425221
oct637673400
9247117873
10109016832
115659aa61
1230614540
131977ca02
141069b248
15988643c
hex67f7700

109016832 has 144 divisors (see below), whose sum is σ = 316574720. Its totient is φ = 33177600.

The previous prime is 109016797. The next prime is 109016857. The reversal of 109016832 is 238610901.

It is a self number, because there is not a number n which added to its sum of digits gives 109016832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452232 + ... + 452472.

Almost surely, 2109016832 is an apocalyptic number.

109016832 is a gapful number since it is divisible by the number (12) 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 109016832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158287360).

109016832 is an abundant number, since it is smaller than the sum of its proper divisors (207557888).

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

109016832 is a wasteful number, since it uses less digits than its factorization.

109016832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 109016832 is about 10441.1125843944. The cubic root of 109016832 is about 477.7102052304.

The spelling of 109016832 in words is "one hundred nine million, sixteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 128 152 186 192 228 241 248 256 304 372 384 456 482 496 589 608 723 744 768 912 964 992 1178 1216 1446 1488 1767 1824 1928 1984 2356 2432 2892 2976 3534 3648 3856 3968 4579 4712 4864 5784 5952 7068 7296 7471 7712 7936 9158 9424 11568 11904 13737 14136 14592 14942 15424 18316 18848 22413 23136 23808 27474 28272 29884 30848 36632 37696 44826 46272 54948 56544 59768 61696 73264 75392 89652 92544 109896 113088 119536 141949 146528 150784 179304 185088 219792 226176 239072 283898 293056 358608 425847 439584 452352 478144 567796 586112 717216 851694 879168 956288 1135592 1172224 1434432 1703388 1758336 1912576 2271184 2868864 3406776 3516672 4542368 5737728 6813552 9084736 13627104 18169472 27254208 36338944 54508416 109016832