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142078680 = 23325563701
BaseRepresentation
bin10000111011111…
…11001011011000
3100220100100022100
420131333023120
5242333004210
622033123400
73343435362
oct1035771330
9326310270
10142078680
11732218a7
123b6b9560
1323587533
1414c25d32
15c7175c0
hex877f2d8

142078680 has 96 divisors (see below), whose sum is σ = 463235760. Its totient is φ = 37766400.

The previous prime is 142078663. The next prime is 142078681. The reversal of 142078680 is 86870241.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142078681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202330 + ... + 203030.

Almost surely, 2142078680 is an apocalyptic number.

142078680 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 142078680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231617880).

142078680 is an abundant number, since it is smaller than the sum of its proper divisors (321157080).

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

142078680 is a wasteful number, since it uses less digits than its factorization.

142078680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 142078680 is about 11919.6761700979. The cubic root of 142078680 is about 521.8066840428.

The spelling of 142078680 in words is "one hundred forty-two million, seventy-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 563 701 1126 1402 1689 2103 2252 2804 2815 3378 3505 4206 4504 5067 5608 5630 6309 6756 7010 8412 8445 10134 10515 11260 12618 13512 14020 16824 16890 20268 21030 22520 25236 25335 28040 31545 33780 40536 42060 50472 50670 63090 67560 84120 101340 126180 202680 252360 394663 789326 1183989 1578652 1973315 2367978 3157304 3551967 3946630 4735956 5919945 7103934 7893260 9471912 11839890 14207868 15786520 17759835 23679780 28415736 35519670 47359560 71039340 142078680