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126632460 = 223513116111
BaseRepresentation
bin1111000110001…
…00001000001100
322211021121002010
413203010020030
5224404214320
620322101220
73065233563
oct743041014
9284247063
10126632460
1165531929
12364aa810
1320309a66
1412b64bda
15b1b5ae0
hex78c420c

126632460 has 48 divisors (see below), whose sum is σ = 357299712. Its totient is φ = 33508800.

The previous prime is 126632453. The next prime is 126632483. The reversal of 126632460 is 64236621.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 196 + ... + 15915.

It is an arithmetic number, because the mean of its divisors is an integer number (7443744).

Almost surely, 2126632460 is an apocalyptic number.

126632460 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 126632460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178649856).

126632460 is an abundant number, since it is smaller than the sum of its proper divisors (230667252).

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

126632460 is a wasteful number, since it uses less digits than its factorization.

126632460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16254 (or 16252 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 126632460 is about 11253.1089037652. The cubic root of 126632460 is about 502.1672061961.

The spelling of 126632460 in words is "one hundred twenty-six million, six hundred thirty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2620 3930 7860 16111 32222 48333 64444 80555 96666 161110 193332 241665 322220 483330 966660 2110541 4221082 6331623 8442164 10552705 12663246 21105410 25326492 31658115 42210820 63316230 126632460