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121552434 = 2334721019
BaseRepresentation
bin1110011111010…
…11111000110010
322110201111121000
413033223320302
5222104134214
620021142430
73004115163
oct717537062
9273644530
10121552434
1162682163
123485aa16
131c24b723
141220176a
15aa10809
hex73ebe32

121552434 has 48 divisors (see below), whose sum is σ = 276256800. Its totient is φ = 39616488.

The previous prime is 121552429. The next prime is 121552471. The reversal of 121552434 is 434255121.

It is a super-2 number, since 2×1215524342 = 29549988422648712, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 121552398 and 121552407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118777 + ... + 119795.

It is an arithmetic number, because the mean of its divisors is an integer number (5755350).

Almost surely, 2121552434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121552434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138128400).

121552434 is an abundant number, since it is smaller than the sum of its proper divisors (154704366).

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

121552434 is a wasteful number, since it uses less digits than its factorization.

121552434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1071 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 121552434 is about 11025.0820405111. The cubic root of 121552434 is about 495.3603253399.

The spelling of 121552434 in words is "one hundred twenty-one million, five hundred fifty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1019 1269 2038 2209 2538 3057 4418 6114 6627 9171 13254 18342 19881 27513 39762 47893 55026 59643 95786 119286 143679 287358 431037 862074 1293111 2250971 2586222 4501942 6752913 13505826 20258739 40517478 60776217 121552434