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61074432 = 21033472
BaseRepresentation
bin1110100011111…
…0110000000000
311020220220101000
43220332300000
5111113340212
610021012000
71341060366
oct350766000
9136826330
1061074432
1131525141
1218554000
13c865023
14817b636
1555661dc
hex3a3ec00

61074432 has 132 divisors (see below), whose sum is σ = 184803160. Its totient is φ = 19924992.

The previous prime is 61074373. The next prime is 61074439. The reversal of 61074432 is 23447016.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

61074432 is a `hidden beast` number, since 610 + 7 + 4 + 43 + 2 = 666.

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 = 61074396 and 61074405.

It is not an unprimeable number, because it can be changed into a prime (61074439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1299433 + ... + 1299479.

Almost surely, 261074432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61074432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92401580).

61074432 is an abundant number, since it is smaller than the sum of its proper divisors (123728728).

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

61074432 is an equidigital number, since it uses as much as digits as its factorization.

61074432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 61074432 is about 7815.0132437508. The cubic root of 61074432 is about 393.8097632643.

Multiplying 61074432 by its sum of digits (27), we get a square (1649009664 = 406082).

61074432 divided by its sum of digits (27) gives a square (2262016 = 15042).

The spelling of 61074432 in words is "sixty-one million, seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 128 141 144 188 192 216 256 282 288 376 384 423 432 512 564 576 752 768 846 864 1024 1128 1152 1269 1504 1536 1692 1728 2209 2256 2304 2538 3008 3072 3384 3456 4418 4512 4608 5076 6016 6627 6768 6912 8836 9024 9216 10152 12032 13254 13536 13824 17672 18048 19881 20304 24064 26508 27072 27648 35344 36096 39762 40608 48128 53016 54144 59643 70688 72192 79524 81216 106032 108288 119286 141376 144384 159048 162432 212064 216576 238572 282752 318096 324864 424128 433152 477144 565504 636192 649728 848256 954288 1131008 1272384 1299456 1696512 1908576 2262016 2544768 3393024 3817152 5089536 6786048 7634304 10179072 15268608 20358144 30537216 61074432