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142542840 = 23351129817
BaseRepresentation
bin10000111111100…
…00011111111000
3100221012221000110
420133300133320
5242442332330
622051104320
73350410536
oct1037603770
9327187013
10142542840
1173509600
123b8a20a0
13236ba89b
1414d07156
15c7a9db0
hex87f07f8

142542840 has 96 divisors (see below), whose sum is σ = 470085840. Its totient is φ = 34552320.

The previous prime is 142542839. The next prime is 142542847. The reversal of 142542840 is 48245241.

It is a super-2 number, since 2×1425428402 = 40636922470531200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 142542798 and 142542807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142542847) 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, 9612 + ... + 19428.

Almost surely, 2142542840 is an apocalyptic number.

142542840 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 142542840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235042920).

142542840 is an abundant number, since it is smaller than the sum of its proper divisors (327543000).

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

142542840 is a wasteful number, since it uses less digits than its factorization.

142542840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9853 (or 9838 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 142542840 is about 11939.1306216156. The cubic root of 142542840 is about 522.3743003257.

The spelling of 142542840 in words is "one hundred forty-two million, five hundred forty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 7260 9817 14520 19634 29451 39268 49085 58902 78536 98170 107987 117804 147255 196340 215974 235608 294510 323961 392680 431948 539935 589020 647922 863896 1079870 1178040 1187857 1295844 1619805 2159740 2375714 2591688 3239610 3563571 4319480 4751428 5939285 6479220 7127142 9502856 11878570 12958440 14254284 17817855 23757140 28508568 35635710 47514280 71271420 142542840