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103263066 = 23317197571
BaseRepresentation
bin1100010011110…
…10101101011010
321012022022022000
412021322231122
5202413404231
614125141430
72362502334
oct611725532
9235268260
10103263066
1153320085
122a6ba876
1318516b0a
14da00454
1590eb6e6
hex627ab5a

103263066 has 64 divisors (see below), whose sum is σ = 244632960. Its totient is φ = 32175360.

The previous prime is 103263059. The next prime is 103263071. The reversal of 103263066 is 660362301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180561 + ... + 181131.

It is an arithmetic number, because the mean of its divisors is an integer number (3822390).

Almost surely, 2103263066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103263066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122316480).

103263066 is an abundant number, since it is smaller than the sum of its proper divisors (141369894).

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

103263066 is a wasteful number, since it uses less digits than its factorization.

103263066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 103263066 is about 10161.8436319400. The cubic root of 103263066 is about 469.1535481646.

It can be divided in two parts, 103 and 263066, that added together give a square (263169 = 5132).

The spelling of 103263066 in words is "one hundred three million, two hundred sixty-three thousand, sixty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 197 306 394 459 571 591 918 1142 1182 1713 1773 3349 3426 3546 5139 5319 6698 9707 10047 10278 10638 15417 19414 20094 29121 30141 30834 58242 60282 87363 90423 112487 174726 180846 224974 262089 337461 524178 674922 1012383 1912279 2024766 3037149 3824558 5736837 6074298 11473674 17210511 34421022 51631533 103263066