Search a number
-
+
121239936 = 273335081
BaseRepresentation
bin1110011100111…
…11100110000000
322110010121221000
413032133212000
5222014134221
620010332000
73001344126
oct716374600
9273117830
10121239936
11624893a4
123472a000
131c16c40c
141215d916
15a99ce26
hex739f980

121239936 has 64 divisors (see below), whose sum is σ = 357836400. Its totient is φ = 40412160.

The previous prime is 121239913. The next prime is 121239941. The reversal of 121239936 is 639932121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 121239936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14085 + ... + 20996.

Almost surely, 2121239936 is an apocalyptic number.

121239936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121239936 is an abundant number, since it is smaller than the sum of its proper divisors (236596464).

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

121239936 is an equidigital number, since it uses as much as digits as its factorization.

121239936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35104 (or 35086 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 121239936 is about 11010.9007805901. The cubic root of 121239936 is about 494.9354553124.

The spelling of 121239936 in words is "one hundred twenty-one million, two hundred thirty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 35081 70162 105243 140324 210486 280648 315729 420972 561296 631458 841944 947187 1122592 1262916 1683888 1894374 2245184 2525832 3367776 3788748 4490368 5051664 6735552 7577496 10103328 13471104 15154992 20206656 30309984 40413312 60619968 121239936