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145478060 = 225721319601
BaseRepresentation
bin10001010101111…
…01000110101100
3101010202001101022
420222331012230
5244220244220
622234033312
73414354200
oct1052750654
9333661338
10145478060
1175133902
1240878838
13241a78c0
141546cb00
15cb89925
hex8abd1ac

145478060 has 144 divisors (see below), whose sum is σ = 403532640. Its totient is φ = 43545600.

The previous prime is 145478051. The next prime is 145478063. The reversal of 145478060 is 60874541.

145478060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 145478060.

It is not an unprimeable number, because it can be changed into a prime (145478063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241760 + ... + 242360.

It is an arithmetic number, because the mean of its divisors is an integer number (2802310).

Almost surely, 2145478060 is an apocalyptic number.

145478060 is a gapful number since it is divisible by the number (10) 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 145478060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201766320).

145478060 is an abundant number, since it is smaller than the sum of its proper divisors (258054580).

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

145478060 is a wasteful number, since it uses less digits than its factorization.

145478060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 145478060 is about 12061.4286052689. The cubic root of 145478060 is about 525.9355171619.

The spelling of 145478060 in words is "one hundred forty-five million, four hundred seventy-eight thousand, sixty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 49 52 65 70 76 91 95 98 130 133 140 182 190 196 245 247 260 266 364 380 455 490 494 532 601 637 665 910 931 980 988 1202 1235 1274 1330 1729 1820 1862 2404 2470 2548 2660 3005 3185 3458 3724 4207 4655 4940 6010 6370 6916 7813 8414 8645 9310 11419 12020 12103 12740 15626 16828 17290 18620 21035 22838 24206 29449 31252 34580 39065 42070 45676 48412 54691 57095 58898 60515 78130 79933 84140 109382 114190 117796 121030 147245 148447 156260 159866 218764 228380 242060 273455 294490 296894 319732 382837 399665 546910 559531 588980 593788 742235 765674 799330 1039129 1093820 1119062 1484470 1531348 1598660 1914185 2078258 2238124 2797655 2968940 3828370 4156516 5195645 5595310 7273903 7656740 10391290 11190620 14547806 20782580 29095612 36369515 72739030 145478060