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60020224 = 291110657
BaseRepresentation
bin1110010011110…
…1011000000000
311011221100021021
43210331120000
5110331121344
65542235224
71326110035
oct344753000
9134840237
1060020224
11309750a0
1218125b14
13c586234
147d8538c
155408b84
hex393d600

60020224 has 40 divisors (see below), whose sum is σ = 130837608. Its totient is φ = 27279360.

The previous prime is 60020209. The next prime is 60020291. The reversal of 60020224 is 42202006.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 60020198 and 60020207.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 304 + ... + 10960.

Almost surely, 260020224 is an apocalyptic number.

60020224 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 60020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65418804).

60020224 is an abundant number, since it is smaller than the sum of its proper divisors (70817384).

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

60020224 is a wasteful number, since it uses less digits than its factorization.

60020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10686 (or 10670 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 60020224 is about 7747.2720360137. The cubic root of 60020224 is about 391.5307448886.

The spelling of 60020224 in words is "sixty million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 2816 5632 10657 21314 42628 85256 117227 170512 234454 341024 468908 682048 937816 1364096 1875632 2728192 3751264 5456384 7502528 15005056 30010112 60020224