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103350996 = 223272411429
BaseRepresentation
bin1100010100100…
…00001011010100
321012110202220200
412022100023110
5202424212441
614131100500
72363316600
oct612201324
9235422820
10103350996
1153380151
122a741730
1318547b48
14da24500
1591177b6
hex62902d4

103350996 has 108 divisors (see below), whose sum is σ = 311531220. Its totient is φ = 28788480.

The previous prime is 103350913. The next prime is 103350997. The reversal of 103350996 is 699053301.

It can be written as a sum of positive squares in 2 ways, for example, as 5934096 + 97416900 = 2436^2 + 9870^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 103350996.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103350997) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71610 + ... + 73038.

Almost surely, 2103350996 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 103350996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155765610).

103350996 is an abundant number, since it is smaller than the sum of its proper divisors (208180224).

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

103350996 is a wasteful number, since it uses less digits than its factorization.

103350996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 103350996 is about 10166.1691900145. The cubic root of 103350996 is about 469.2866740715.

The spelling of 103350996 in words is "one hundred three million, three hundred fifty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 49 63 82 84 98 123 126 147 164 196 246 252 287 294 369 441 492 574 588 738 861 882 1148 1429 1476 1722 1764 2009 2583 2858 3444 4018 4287 5166 5716 6027 8036 8574 10003 10332 12054 12861 17148 18081 20006 24108 25722 30009 36162 40012 51444 58589 60018 70021 72324 90027 117178 120036 140042 175767 180054 210063 234356 280084 351534 360108 410123 420126 527301 630189 703068 820246 840252 1054602 1230369 1260378 1640492 2109204 2460738 2520756 2870861 3691107 4921476 5741722 7382214 8612583 11483444 14764428 17225166 25837749 34450332 51675498 103350996