Search a number
-
+
122609472 = 2631993209
BaseRepresentation
bin1110100111011…
…01111101000000
322112201012120120
413103231331000
5222342000342
620055540240
73016110006
oct723557500
9275635516
10122609472
1163234347
123508a680
131c52b8ab
14123d8a76
15ab6daec
hex74edf40

122609472 has 56 divisors (see below), whose sum is σ = 326136000. Its totient is φ = 40651776.

The previous prime is 122609471. The next prime is 122609479. The reversal of 122609472 is 274906221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122609471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36604 + ... + 39812.

Almost surely, 2122609472 is an apocalyptic number.

122609472 is a gapful number since it is divisible by the number (12) 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 122609472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163068000).

122609472 is an abundant number, since it is smaller than the sum of its proper divisors (203526528).

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

122609472 is a wasteful number, since it uses less digits than its factorization.

122609472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 122609472 is about 11072.9161470680. The cubic root of 122609472 is about 496.7920920013.

The spelling of 122609472 in words is "one hundred twenty-two million, six hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 199 398 597 796 1194 1592 2388 3184 3209 4776 6368 6418 9552 9627 12736 12836 19104 19254 25672 38208 38508 51344 77016 102688 154032 205376 308064 616128 638591 1277182 1915773 2554364 3831546 5108728 7663092 10217456 15326184 20434912 30652368 40869824 61304736 122609472