Search a number
-
+
15028832 = 257132397
BaseRepresentation
bin111001010101…
…001001100000
31001021112200102
4321111021200
512321410312
61254041532
7241512560
oct71251140
931245612
1015028832
118535425
1250492a8
133162800
141dd2da0
1514bcec2
hexe55260

15028832 has 72 divisors (see below), whose sum is σ = 36708336. Its totient is φ = 5930496.

The previous prime is 15028823. The next prime is 15028841. The reversal of 15028832 is 23882051.

It is an interprime number because it is at equal distance from previous prime (15028823) and next prime (15028841).

It is a junction number, because it is equal to n+sod(n) for n = 15028795 and 15028804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37658 + ... + 38054.

It is an arithmetic number, because the mean of its divisors is an integer number (509838).

Almost surely, 215028832 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 15028832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18354168).

15028832 is an abundant number, since it is smaller than the sum of its proper divisors (21679504).

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

15028832 is a wasteful number, since it uses less digits than its factorization.

15028832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 15028832 is about 3876.7037544801. The cubic root of 15028832 is about 246.7791192482.

It can be divided in two parts, 15028 and 832, that multiplied together give a square (12503296 = 35362).

The spelling of 15028832 in words is "fifteen million, twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 169 182 208 224 338 364 397 416 676 728 794 1183 1352 1456 1588 2366 2704 2779 2912 3176 4732 5161 5408 5558 6352 9464 10322 11116 12704 18928 20644 22232 36127 37856 41288 44464 67093 72254 82576 88928 134186 144508 165152 268372 289016 469651 536744 578032 939302 1073488 1156064 1878604 2146976 3757208 7514416 15028832