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142007800 = 235211173797
BaseRepresentation
bin10000111011011…
…01110111111000
3100220012202002011
420131231313320
5242323222200
622031415304
73343021624
oct1035556770
9326182064
10142007800
1173183620
123b684534
13235611ac
1414c08184
15c7015ba
hex876ddf8

142007800 has 96 divisors (see below), whose sum is σ = 381471120. Its totient is φ = 48588800.

The previous prime is 142007791. The next prime is 142007839. The reversal of 142007800 is 8700241.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35502 + ... + 39298.

Almost surely, 2142007800 is an apocalyptic number.

142007800 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 142007800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190735560).

142007800 is an abundant number, since it is smaller than the sum of its proper divisors (239463320).

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

142007800 is a wasteful number, since it uses less digits than its factorization.

142007800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3841 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 142007800 is about 11916.7025640485. The cubic root of 142007800 is about 521.7198968956.

The spelling of 142007800 in words is "one hundred forty-two million, seven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 136 170 187 200 220 275 340 374 425 440 550 680 748 850 935 1100 1496 1700 1870 2200 3400 3740 3797 4675 7480 7594 9350 15188 18700 18985 30376 37400 37970 41767 64549 75940 83534 94925 129098 151880 167068 189850 208835 258196 322745 334136 379700 417670 516392 645490 710039 759400 835340 1044175 1290980 1420078 1613725 1670680 2088350 2581960 2840156 3227450 3550195 4176700 5680312 6454900 7100390 8353400 12909800 14200780 17750975 28401560 35501950 71003900 142007800