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142893120 = 2635732039
BaseRepresentation
bin10001000010001…
…10000001000000
3100221212201111210
420201012001000
5243040034440
622102410120
73353400006
oct1041060100
9327781453
10142893120
1173728797
123ba30940
13237b1156
1414d98a76
15c828a80
hex8846040

142893120 has 112 divisors (see below), whose sum is σ = 460126080. Its totient is φ = 37564416.

The previous prime is 142893073. The next prime is 142893131. The reversal of 142893120 is 21398241.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69061 + ... + 71099.

Almost surely, 2142893120 is an apocalyptic number.

142893120 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 142893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230063040).

142893120 is an abundant number, since it is smaller than the sum of its proper divisors (317232960).

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

142893120 is a wasteful number, since it uses less digits than its factorization.

142893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 142893120 is about 11953.7910304639. The cubic root of 142893120 is about 522.8018386794.

The spelling of 142893120 in words is "one hundred forty-two million, eight hundred ninety-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 120 146 160 192 219 240 292 320 365 438 480 584 730 876 960 1095 1168 1460 1752 2039 2190 2336 2920 3504 4078 4380 4672 5840 6117 7008 8156 8760 10195 11680 12234 14016 16312 17520 20390 23360 24468 30585 32624 35040 40780 48936 61170 65248 70080 81560 97872 122340 130496 148847 163120 195744 244680 297694 326240 391488 446541 489360 595388 652480 744235 893082 978720 1190776 1488470 1786164 1957440 2232705 2381552 2976940 3572328 4465410 4763104 5953880 7144656 8930820 9526208 11907760 14289312 17861640 23815520 28578624 35723280 47631040 71446560 142893120