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60713120 = 25513172101
BaseRepresentation
bin1110011110011…
…0100010100000
311020020112202002
43213212202200
5111020304440
610005143132
71335024116
oct347464240
9136215662
1060713120
11312a8736
12183baaa8
13c769730
1480c5ab6
1554e4115
hex39e68a0

60713120 has 144 divisors (see below), whose sum is σ = 165713688. Its totient is φ = 20889600.

The previous prime is 60713101. The next prime is 60713161. The reversal of 60713120 is 2131706.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 26091664 + 34621456 = 5108^2 + 5884^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 60713092 and 60713101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 601070 + ... + 601170.

Almost surely, 260713120 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 60713120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82856844).

60713120 is an abundant number, since it is smaller than the sum of its proper divisors (105000568).

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

60713120 is a wasteful number, since it uses less digits than its factorization.

60713120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 60713120 is about 7791.8624217834. The cubic root of 60713120 is about 393.0316432813.

Adding to 60713120 its reverse (2131706), we get a palindrome (62844826).

The spelling of 60713120 in words is "sixty million, seven hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 65 68 80 85 101 104 130 136 160 170 202 208 221 260 272 289 340 404 416 442 505 520 544 578 680 808 884 1010 1040 1105 1156 1313 1360 1445 1616 1717 1768 2020 2080 2210 2312 2626 2720 2890 3232 3434 3536 3757 4040 4420 4624 5252 5780 6565 6868 7072 7514 8080 8585 8840 9248 10504 11560 13130 13736 15028 16160 17170 17680 18785 21008 22321 23120 26260 27472 29189 30056 34340 35360 37570 42016 44642 46240 52520 54944 58378 60112 68680 75140 89284 105040 111605 116756 120224 137360 145945 150280 178568 210080 223210 233512 274720 291890 300560 357136 379457 446420 467024 583780 601120 714272 758914 892840 934048 1167560 1517828 1785680 1897285 2335120 3035656 3571360 3794570 4670240 6071312 7589140 12142624 15178280 30356560 60713120