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122887740 = 223512716127
BaseRepresentation
bin1110101001100…
…01111000111100
322120020100021210
413110301320330
5222424401430
620105524420
73021346203
oct724617074
9276210253
10122887740
1163404418
12351a3710
131c5c8451
141246c23a
15abc62b0
hex7531e3c

122887740 has 48 divisors (see below), whose sum is σ = 346816512. Its totient is φ = 32510016.

The previous prime is 122887717. The next prime is 122887759. The reversal of 122887740 is 47788221.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 444 + ... + 15683.

It is an arithmetic number, because the mean of its divisors is an integer number (7225344).

Almost surely, 2122887740 is an apocalyptic number.

122887740 is a gapful number since it is divisible by the number (10) 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 122887740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173408256).

122887740 is an abundant number, since it is smaller than the sum of its proper divisors (223928772).

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

122887740 is a wasteful number, since it uses less digits than its factorization.

122887740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16266 (or 16264 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 122887740 is about 11085.4742794343. The cubic root of 122887740 is about 497.1676390927.

The spelling of 122887740 in words is "one hundred twenty-two million, eight hundred eighty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 7620 16127 32254 48381 64508 80635 96762 161270 193524 241905 322540 483810 967620 2048129 4096258 6144387 8192516 10240645 12288774 20481290 24577548 30721935 40962580 61443870 122887740