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103494144 = 293137173
BaseRepresentation
bin1100010101100…
…11001000000000
321012202001021110
412022303020000
5202443303034
614134123320
72364454125
oct612631000
9235661243
10103494144
1153468756
122a7b0540
1318598050
14da6074c
159144de9
hex62b3200

103494144 has 160 divisors (see below), whose sum is σ = 305230464. Its totient is φ = 30965760.

The previous prime is 103494133. The next prime is 103494161. The reversal of 103494144 is 441494301.

It is a super-2 number, since 2×1034941442 = 21422075684585472, which contains 22 as substring.

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, 1417692 + ... + 1417764.

Almost surely, 2103494144 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 103494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152615232).

103494144 is an abundant number, since it is smaller than the sum of its proper divisors (201736320).

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

103494144 is an equidigital number, since it uses as much as digits as its factorization.

103494144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 103494144 is about 10173.2071639184. The cubic root of 103494144 is about 469.5032385304.

The spelling of 103494144 in words is "one hundred three million, four hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 71 73 78 96 104 128 142 146 156 192 208 213 219 256 284 292 312 384 416 426 438 512 568 584 624 768 832 852 876 923 949 1136 1168 1248 1536 1664 1704 1752 1846 1898 2272 2336 2496 2769 2847 3328 3408 3504 3692 3796 4544 4672 4992 5183 5538 5694 6656 6816 7008 7384 7592 9088 9344 9984 10366 11076 11388 13632 14016 14768 15184 15549 18176 18688 19968 20732 22152 22776 27264 28032 29536 30368 31098 36352 37376 41464 44304 45552 54528 56064 59072 60736 62196 67379 82928 88608 91104 109056 112128 118144 121472 124392 134758 165856 177216 182208 202137 236288 242944 248784 269516 331712 354432 364416 404274 472576 485888 497568 539032 663424 708864 728832 808548 995136 1078064 1326848 1417728 1457664 1617096 1990272 2156128 2653696 3234192 3980544 4312256 6468384 7961088 8624512 12936768 17249024 25873536 34498048 51747072 103494144