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107216430 = 23519792381
BaseRepresentation
bin1100110001111…
…11111000101110
321110202011021220
412120333320232
5204421411210
614350004210
72441216226
oct630777056
9243664256
10107216430
1155580322
122baa6666
131929c399
141034d086
15962cc70
hex663fe2e

107216430 has 64 divisors (see below), whose sum is σ = 274406400. Its totient is φ = 26732160.

The previous prime is 107216419. The next prime is 107216437. The reversal of 107216430 is 34612701.

It is a super-2 number, since 2×1072164302 = 22990725723889800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107216430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107216437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43840 + ... + 46220.

It is an arithmetic number, because the mean of its divisors is an integer number (4287600).

Almost surely, 2107216430 is an apocalyptic number.

107216430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107216430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137203200).

107216430 is an abundant number, since it is smaller than the sum of its proper divisors (167189970).

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

107216430 is a wasteful number, since it uses less digits than its factorization.

107216430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 107216430 is about 10354.5366868827. The cubic root of 107216430 is about 475.0658154417.

The spelling of 107216430 in words is "one hundred seven million, two hundred sixteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 79 95 114 158 190 237 285 395 474 570 790 1185 1501 2370 2381 3002 4503 4762 7143 7505 9006 11905 14286 15010 22515 23810 35715 45030 45239 71430 90478 135717 188099 226195 271434 376198 452390 564297 678585 940495 1128594 1357170 1880990 2821485 3573881 5642970 7147762 10721643 17869405 21443286 35738810 53608215 107216430