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161007048 = 23337310211
BaseRepresentation
bin10011001100011…
…00010111001000
3102012222000011000
421212030113020
5312204211143
623550535000
73663352206
oct1146142710
9365860130
10161007048
118297aa84
1245b07460
1327483c57
1417552076
15e205bd3
hex998c5c8

161007048 has 64 divisors (see below), whose sum is σ = 453412800. Its totient is φ = 52928640.

The previous prime is 161007023. The next prime is 161007089. The reversal of 161007048 is 840700161.

It is a happy number.

161007048 is a `hidden beast` number, since 1 + 610 + 0 + 7 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10663 + ... + 20873.

It is an arithmetic number, because the mean of its divisors is an integer number (7084575).

Almost surely, 2161007048 is an apocalyptic number.

161007048 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 161007048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226706400).

161007048 is an abundant number, since it is smaller than the sum of its proper divisors (292405752).

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

161007048 is a wasteful number, since it uses less digits than its factorization.

161007048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10299 (or 10289 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 161007048 is about 12688.8552675172. The cubic root of 161007048 is about 544.0201207235.

The spelling of 161007048 in words is "one hundred sixty-one million, seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 438 584 657 876 1314 1752 1971 2628 3942 5256 7884 10211 15768 20422 30633 40844 61266 81688 91899 122532 183798 245064 275697 367596 551394 735192 745403 1102788 1490806 2205576 2236209 2981612 4472418 5963224 6708627 8944836 13417254 17889672 20125881 26834508 40251762 53669016 80503524 161007048