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142545480 = 233571115427
BaseRepresentation
bin10000111111100…
…01001001001000
3100221020001122020
420133301021020
5242442423410
622051124440
73350421330
oct1037611110
9327201566
10142545480
1173510590
123b8a3720
13236bbb4c
1414d080c0
15c7aaa70
hex87f1248

142545480 has 128 divisors (see below), whose sum is σ = 533191680. Its totient is φ = 29617920.

The previous prime is 142545449. The next prime is 142545523. The reversal of 142545480 is 84545241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1527 + ... + 16953.

It is an arithmetic number, because the mean of its divisors is an integer number (4165560).

Almost surely, 2142545480 is an apocalyptic number.

142545480 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 142545480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266595840).

142545480 is an abundant number, since it is smaller than the sum of its proper divisors (390646200).

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

142545480 is a wasteful number, since it uses less digits than its factorization.

142545480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15459 (or 15455 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The square root of 142545480 is about 11939.2411819177. The cubic root of 142545480 is about 522.3775252267.

The spelling of 142545480 in words is "one hundred forty-two million, five hundred forty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 15427 30854 46281 61708 77135 92562 107989 123416 154270 169697 185124 215978 231405 308540 323967 339394 370248 431956 462810 509091 539945 617080 647934 678788 848485 863912 925620 1018182 1079890 1187879 1295868 1357576 1619835 1696970 1851240 2036364 2159780 2375758 2545455 2591736 3239670 3393940 3563637 4072728 4319560 4751516 5090910 5939395 6479340 6787880 7127274 9503032 10181820 11878790 12958680 14254548 17818185 20363640 23757580 28509096 35636370 47515160 71272740 142545480