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1050138516 = 223731213009
BaseRepresentation
bin111110100101111…
…101011110010100
32201012000120020010
4332211331132110
54122313413031
6252112040220
735011013220
oct7645753624
92635016203
101050138516
11499859679
12253833070
1313974364b
149d67d780
15622d7246
hex3e97d794

1050138516 has 72 divisors (see below), whose sum is σ = 2893840320. Its totient is φ = 290338560.

The previous prime is 1050138497. The next prime is 1050138521. The reversal of 1050138516 is 6158310501.

It is a super-2 number, since 2×10501385162 = 2205581805573364512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74220 + ... + 87228.

Almost surely, 21050138516 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 1050138516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446920160).

1050138516 is an abundant number, since it is smaller than the sum of its proper divisors (1843701804).

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

1050138516 is a wasteful number, since it uses less digits than its factorization.

1050138516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13085 (or 13052 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 1050138516 is about 32405.8407698365. The cubic root of 1050138516 is about 1016.4410491854.

The spelling of 1050138516 in words is "one billion, fifty million, one hundred thirty-eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 961 1302 1922 2604 2883 3844 5766 6727 11532 13009 13454 20181 26018 26908 39027 40362 52036 78054 80724 91063 156108 182126 273189 364252 403279 546378 806558 1092756 1209837 1613116 2419674 2822953 4839348 5645906 8468859 11291812 12501649 16937718 25003298 33875436 37504947 50006596 75009894 87511543 150019788 175023086 262534629 350046172 525069258 1050138516