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129250728 = 2335173911
BaseRepresentation
bin1111011010000…
…11010110101000
3100000012121200000
413231003112220
5231042010403
620454143000
73126420165
oct755032650
9300177600
10129250728
1166a5aa92
1237351a60
1320a15729
141324706c
15b5317a3
hex7b435a8

129250728 has 96 divisors (see below), whose sum is σ = 384471360. Its totient is φ = 40538880.

The previous prime is 129250669. The next prime is 129250741. The reversal of 129250728 is 827052921.

129250728 is a `hidden beast` number, since 129 + 2 + 507 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 129250692 and 129250701.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31093 + ... + 35003.

It is an arithmetic number, because the mean of its divisors is an integer number (4004910).

Almost surely, 2129250728 is an apocalyptic number.

129250728 is a gapful number since it is divisible by the number (18) 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 129250728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192235680).

129250728 is an abundant number, since it is smaller than the sum of its proper divisors (255220632).

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

129250728 is a wasteful number, since it uses less digits than its factorization.

129250728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 129250728 is about 11368.8490182604. The cubic root of 129250728 is about 505.6045799704.

The spelling of 129250728 in words is "one hundred twenty-nine million, two hundred fifty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 918 972 1224 1377 1836 1944 2754 3672 3911 4131 5508 7822 8262 11016 11733 15644 16524 23466 31288 33048 35199 46932 66487 70398 93864 105597 132974 140796 199461 211194 265948 281592 316791 398922 422388 531896 598383 633582 797844 844776 950373 1196766 1267164 1595688 1795149 1900746 2393532 2534328 3590298 3801492 4787064 5385447 7180596 7602984 10770894 14361192 16156341 21541788 32312682 43083576 64625364 129250728