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142406160 = 24351323511
BaseRepresentation
bin10000111110011…
…11001000010000
3100220221222112020
420133033020100
5242423444120
622044131440
73346301211
oct1037171020
9326858466
10142406160
1173425946
123b836b80
1323670600
1414cad408
15c77e640
hex87cf210

142406160 has 120 divisors (see below), whose sum is σ = 478165824. Its totient is φ = 35043840.

The previous prime is 142406149. The next prime is 142406167. The reversal of 142406160 is 61604241.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 142406160.

It is not an unprimeable number, because it can be changed into a prime (142406167) 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, 38805 + ... + 42315.

Almost surely, 2142406160 is an apocalyptic number.

142406160 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 142406160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239082912).

142406160 is an abundant number, since it is smaller than the sum of its proper divisors (335759664).

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

142406160 is a wasteful number, since it uses less digits than its factorization.

142406160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3553 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 142406160 is about 11933.4052139362. The cubic root of 142406160 is about 522.2072839816.

The spelling of 142406160 in words is "one hundred forty-two million, four hundred six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 169 195 208 240 260 312 338 390 507 520 624 676 780 845 1014 1040 1352 1560 1690 2028 2535 2704 3120 3380 3511 4056 5070 6760 7022 8112 10140 10533 13520 14044 17555 20280 21066 28088 35110 40560 42132 45643 52665 56176 70220 84264 91286 105330 136929 140440 168528 182572 210660 228215 273858 280880 365144 421320 456430 547716 593359 684645 730288 842640 912860 1095432 1186718 1369290 1780077 1825720 2190864 2373436 2738580 2966795 3560154 3651440 4746872 5477160 5933590 7120308 8900385 9493744 10954320 11867180 14240616 17800770 23734360 28481232 35601540 47468720 71203080 142406160