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60034080 = 2535181691
BaseRepresentation
bin1110010100000…
…0110000100000
311011222001021110
43211000300200
5110332042310
65542423320
71326165321
oct345006040
9134861243
1060034080
1130984547
1218131b40
13c58c632
147d8a448
15540cd20
hex3940c20

60034080 has 96 divisors (see below), whose sum is σ = 190427328. Its totient is φ = 15897600.

The previous prime is 60034069. The next prime is 60034109. The reversal of 60034080 is 8043006.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×600340802 = 7208181522892800, which contains 22 as substring.

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, 86535 + ... + 87225.

It is an arithmetic number, because the mean of its divisors is an integer number (1983618).

Almost surely, 260034080 is an apocalyptic number.

60034080 is a gapful number since it is divisible by the number (60) 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 60034080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95213664).

60034080 is an abundant number, since it is smaller than the sum of its proper divisors (130393248).

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

60034080 is a wasteful number, since it uses less digits than its factorization.

60034080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 60034080 is about 7748.1662346648. The cubic root of 60034080 is about 391.5608715816.

Adding to 60034080 its reverse (8043006), we get a palindrome (68077086).

The spelling of 60034080 in words is "sixty million, thirty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 181 240 362 480 543 691 724 905 1086 1382 1448 1810 2073 2172 2715 2764 2896 3455 3620 4146 4344 5430 5528 5792 6910 7240 8292 8688 10365 10860 11056 13820 14480 16584 17376 20730 21720 22112 27640 28960 33168 41460 43440 55280 66336 82920 86880 110560 125071 165840 250142 331680 375213 500284 625355 750426 1000568 1250710 1500852 1876065 2001136 2501420 3001704 3752130 4002272 5002840 6003408 7504260 10005680 12006816 15008520 20011360 30017040 60034080