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103172292 = 2234359887
BaseRepresentation
bin1100010011001…
…00100011000100
321012010200210000
412021210203010
5202403003132
614123201300
72361643566
oct611444304
9235120700
10103172292
1153268963
122a676230
13184b46c2
14d9b9336
1590ce87c
hex62648c4

103172292 has 60 divisors (see below), whose sum is σ = 270768960. Its totient is φ = 34256304.

The previous prime is 103172257. The next prime is 103172323. The reversal of 103172292 is 292271301.

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 19 ways as a sum of consecutive naturals, for example, 115873 + ... + 116759.

It is an arithmetic number, because the mean of its divisors is an integer number (4512816).

Almost surely, 2103172292 is an apocalyptic number.

103172292 is a gapful number since it is divisible by the number (12) 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 103172292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135384480).

103172292 is an abundant number, since it is smaller than the sum of its proper divisors (167596668).

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

103172292 is a wasteful number, since it uses less digits than its factorization.

103172292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 103172292 is about 10157.3762360169. The cubic root of 103172292 is about 469.0160371431.

The spelling of 103172292 in words is "one hundred three million, one hundred seventy-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 359 718 887 1077 1436 1774 2154 2661 3231 3548 4308 5322 6462 7983 9693 10644 12924 15966 19386 23949 29079 31932 38772 47898 58158 71847 95796 116316 143694 287388 318433 636866 955299 1273732 1910598 2865897 3821196 5731794 8597691 11463588 17195382 25793073 34390764 51586146 103172292