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60069072 = 2437317379
BaseRepresentation
bin1110010100100…
…1010011010000
311012000211021110
43211021103100
5110334202242
65543253320
71326402330
oct345112320
9135024243
1060069072
11309a8868
121814a240
13c5a253b
147d990c0
15541839c
hex39494d0

60069072 has 160 divisors (see below), whose sum is σ = 187924480. Its totient is φ = 16174080.

The previous prime is 60069071. The next prime is 60069091. The reversal of 60069072 is 27096006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60069071) 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 31 ways as a sum of consecutive naturals, for example, 760329 + ... + 760407.

It is an arithmetic number, because the mean of its divisors is an integer number (1174528).

Almost surely, 260069072 is an apocalyptic number.

60069072 is a gapful number since it is divisible by the number (62) 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 60069072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93962240).

60069072 is an abundant number, since it is smaller than the sum of its proper divisors (127855408).

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

60069072 is a wasteful number, since it uses less digits than its factorization.

60069072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 60069072 is about 7750.4239884022. The cubic root of 60069072 is about 391.6369330278.

The spelling of 60069072 in words is "sixty million, sixty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 73 79 84 93 112 124 146 158 168 186 217 219 237 248 292 316 336 372 434 438 474 496 511 553 584 632 651 744 868 876 948 1022 1106 1168 1264 1302 1488 1533 1659 1736 1752 1896 2044 2212 2263 2449 2604 3066 3318 3472 3504 3792 4088 4424 4526 4898 5208 5767 6132 6636 6789 7347 8176 8848 9052 9796 10416 11534 12264 13272 13578 14694 15841 17143 17301 18104 19592 23068 24528 26544 27156 29388 31682 34286 34602 36208 39184 40369 46136 47523 51429 54312 58776 63364 68572 69204 80738 92272 95046 102858 108624 117552 121107 126728 137144 138408 161476 178777 190092 205716 242214 253456 274288 276816 322952 357554 380184 411432 484428 536331 645904 715108 760368 822864 968856 1072662 1251439 1430216 1937712 2145324 2502878 2860432 3754317 4290648 5005756 7508634 8581296 10011512 15017268 20023024 30034536 60069072