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1107429516 = 2233194113163
BaseRepresentation
bin100001000000010…
…0000100010001100
32212011211020201000
41002000200202030
54232000221031
6301520020300
736304665324
oct10200404214
92764736630
101107429516
1151912a206
1226aa61690
1314858254b
14a7114284
15673523e6
hex4202088c

1107429516 has 96 divisors (see below), whose sum is σ = 3096172800. Its totient is φ = 341159040.

The previous prime is 1107429509. The next prime is 1107429559. The reversal of 1107429516 is 6159247011.

1107429516 is a `hidden beast` number, since 110 + 7 + 4 + 29 + 516 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77551 + ... + 90713.

It is an arithmetic number, because the mean of its divisors is an integer number (32251800).

Almost surely, 21107429516 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 1107429516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548086400).

1107429516 is an abundant number, since it is smaller than the sum of its proper divisors (1988743284).

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

1107429516 is a wasteful number, since it uses less digits than its factorization.

1107429516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13236 (or 13228 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1107429516 is about 33278.0635854913. The cubic root of 1107429516 is about 1034.5989456439.

The spelling of 1107429516 in words is "one billion, one hundred seven million, four hundred twenty-nine thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 41 54 57 76 82 108 114 123 164 171 228 246 342 369 492 513 684 738 779 1026 1107 1476 1558 2052 2214 2337 3116 4428 4674 7011 9348 13163 14022 21033 26326 28044 39489 42066 52652 78978 84132 118467 157956 236934 250097 355401 473868 500194 539683 710802 750291 1000388 1079366 1421604 1500582 1619049 2158732 2250873 3001164 3238098 4501746 4857147 6476196 6752619 9003492 9714294 10253977 13505238 14571441 19428588 20507954 27010476 29142882 30761931 41015908 58285764 61523862 92285793 123047724 184571586 276857379 369143172 553714758 1107429516