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60072978 = 23729313743
BaseRepresentation
bin1110010100101…
…0010000010010
311012001000122010
43211022100102
5110334313403
65543323350
71326416610
oct345122022
9135030563
1060072978
1130a00799
1218150556
13c5a4254
147d9a6b0
155419603
hex394a412

60072978 has 128 divisors (see below), whose sum is σ = 154091520. Its totient is φ = 15240960.

The previous prime is 60072977. The next prime is 60072997. The reversal of 60072978 is 87927006.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (60072977) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1397025 + ... + 1397067.

It is an arithmetic number, because the mean of its divisors is an integer number (1203840).

Almost surely, 260072978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60072978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77045760).

60072978 is an abundant number, since it is smaller than the sum of its proper divisors (94018542).

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

60072978 is a wasteful number, since it uses less digits than its factorization.

60072978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152.

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 60072978 is about 7750.6759705202. The cubic root of 60072978 is about 391.6454215930.

The spelling of 60072978 in words is "sixty million, seventy-two thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 29 31 37 42 43 58 62 74 86 87 93 111 129 174 186 203 217 222 258 259 301 406 434 518 602 609 651 777 899 903 1073 1147 1218 1247 1302 1333 1554 1591 1798 1806 2146 2294 2494 2666 2697 3182 3219 3441 3741 3999 4773 5394 6293 6438 6882 7482 7511 7998 8029 8729 9331 9546 11137 12586 15022 16058 17458 18662 18879 22274 22533 24087 26187 27993 33263 33411 37758 38657 45066 46139 48174 49321 52374 55986 66526 66822 77314 92278 98642 99789 115971 138417 147963 199578 231942 232841 270599 276834 295926 322973 345247 465682 541198 645946 690494 698523 811797 968919 1035741 1397046 1430309 1623594 1937838 2071482 2860618 4290927 8581854 10012163 20024326 30036489 60072978