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103234980 = 223519137661
BaseRepresentation
bin1100010011100…
…11110110100100
321012020212202210
412021303312210
5202412004410
614124403420
72362324422
oct611636644
9235225683
10103234980
1153300a72
122a6a6570
13185070b4
14d9d4112
1590e3220
hex6273da4

103234980 has 96 divisors (see below), whose sum is σ = 306956160. Its totient is φ = 25850880.

The previous prime is 103234949. The next prime is 103234981. The reversal of 103234980 is 89432301.

It is a super-2 number, since 2×1032349802 = 21314922191200800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (103234981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155850 + ... + 156510.

It is an arithmetic number, because the mean of its divisors is an integer number (3197460).

Almost surely, 2103234980 is an apocalyptic number.

103234980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103234980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153478080).

103234980 is an abundant number, since it is smaller than the sum of its proper divisors (203721180).

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

103234980 is a wasteful number, since it uses less digits than its factorization.

103234980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 103234980 is about 10160.4616036871. The cubic root of 103234980 is about 469.1110100728. Note that the first 3 decimals are identical.

The spelling of 103234980 in words is "one hundred three million, two hundred thirty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 137 190 228 274 285 380 411 548 570 661 685 822 1140 1322 1370 1644 1983 2055 2603 2644 2740 3305 3966 4110 5206 6610 7809 7932 8220 9915 10412 12559 13015 13220 15618 19830 25118 26030 31236 37677 39045 39660 50236 52060 62795 75354 78090 90557 125590 150708 156180 181114 188385 251180 271671 362228 376770 452785 543342 753540 905570 1086684 1358355 1720583 1811140 2716710 3441166 5161749 5433420 6882332 8602915 10323498 17205830 20646996 25808745 34411660 51617490 103234980