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1107413328 = 243721924781
BaseRepresentation
bin100001000000001…
…1100100101010000
32212011210102111110
41002000130211100
54231444211303
6301515413320
736304600200
oct10200344520
92764712443
101107413328
1151911902a
1226aa54240
13148578078
14a710c400
156734c703
hex4201c950

1107413328 has 120 divisors (see below), whose sum is σ = 3503183520. Its totient is φ = 299738880.

The previous prime is 1107413327. The next prime is 1107413339. The reversal of 1107413328 is 8233147011.

It is a junction number, because it is equal to n+sod(n) for n = 1107413295 and 1107413304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107413327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32298 + ... + 57078.

It is an arithmetic number, because the mean of its divisors is an integer number (29193196).

Almost surely, 21107413328 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 1107413328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751591760).

1107413328 is an abundant number, since it is smaller than the sum of its proper divisors (2395770192).

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

1107413328 is a wasteful number, since it uses less digits than its factorization.

1107413328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24825 (or 24812 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1107413328 is about 33277.8203613157. The cubic root of 1107413328 is about 1034.5939044895.

The spelling of 1107413328 in words is "one billion, one hundred seven million, four hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 49 56 57 76 84 98 112 114 133 147 152 168 196 228 266 294 304 336 392 399 456 532 588 784 798 912 931 1064 1176 1596 1862 2128 2352 2793 3192 3724 5586 6384 7448 11172 14896 22344 24781 44688 49562 74343 99124 148686 173467 198248 297372 346934 396496 470839 520401 594744 693868 941678 1040802 1189488 1214269 1387736 1412517 1883356 2081604 2428538 2775472 2825034 3295873 3642807 3766712 4163208 4857076 5650068 6591746 7285614 7533424 8326416 9714152 9887619 11300136 13183492 14571228 19428304 19775238 22600272 23071111 26366984 29142456 39550476 46142222 52733968 58284912 69213333 79100952 92284444 138426666 158201904 184568888 276853332 369137776 553706664 1107413328