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60742144 = 29314389
BaseRepresentation
bin1110011110110…
…1101000000000
311020022000120001
43213231220000
5111022222034
610005525344
71335204541
oct347555000
9136260501
1060742144
1131318521
1218413854
13c7799c8
1480d24c8
1554eca14
hex39eda00

60742144 has 80 divisors (see below), whose sum is σ = 129634560. Its totient is φ = 28385280.

The previous prime is 60742127. The next prime is 60742151. The reversal of 60742144 is 44124706.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 682452 + ... + 682540.

It is an arithmetic number, because the mean of its divisors is an integer number (1620432).

Almost surely, 260742144 is an apocalyptic number.

60742144 is a gapful number since it is divisible by the number (64) 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 60742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64817280).

60742144 is an abundant number, since it is smaller than the sum of its proper divisors (68892416).

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

60742144 is an equidigital number, since it uses as much as digits as its factorization.

60742144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 60742144 is about 7793.7246551312. The cubic root of 60742144 is about 393.0942630968.

The spelling of 60742144 in words is "sixty million, seven hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 89 124 128 172 178 248 256 344 356 496 512 688 712 992 1333 1376 1424 1984 2666 2752 2759 2848 3827 3968 5332 5504 5518 5696 7654 7936 10664 11008 11036 11392 15308 15872 21328 22016 22072 22784 30616 42656 44144 45568 61232 85312 88288 118637 122464 170624 176576 237274 244928 341248 353152 474548 489856 682496 706304 949096 979712 1412608 1898192 1959424 3796384 7592768 15185536 30371072 60742144