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142057200 = 24352235147
BaseRepresentation
bin10000111011110…
…01111011110000
3100220022020211210
420131321323300
5242331312300
622032440120
73343315635
oct1035717360
9326266753
10142057200
117320774a
123b6a9040
132357a81c
1414c1c18c
15c711050
hex8779ef0

142057200 has 120 divisors (see below), whose sum is σ = 474933888. Its totient is φ = 36227840.

The previous prime is 142057199. The next prime is 142057213. The reversal of 142057200 is 2750241.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25027 + ... + 30173.

Almost surely, 2142057200 is an apocalyptic number.

142057200 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 142057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237466944).

142057200 is an abundant number, since it is smaller than the sum of its proper divisors (332876688).

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

142057200 is a wasteful number, since it uses less digits than its factorization.

142057200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5191 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 142057200 is about 11918.7751048503. The cubic root of 142057200 is about 521.7803864719.

The spelling of 142057200 in words is "one hundred forty-two million, fifty-seven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 138 150 184 200 230 240 276 300 345 368 400 460 552 575 600 690 920 1104 1150 1200 1380 1725 1840 2300 2760 3450 4600 5147 5520 6900 9200 10294 13800 15441 20588 25735 27600 30882 41176 51470 61764 77205 82352 102940 118381 123528 128675 154410 205880 236762 247056 257350 308820 355143 386025 411760 473524 514700 591905 617640 710286 772050 947048 1029400 1183810 1235280 1420572 1544100 1775715 1894096 2058800 2367620 2841144 2959525 3088200 3551430 4735240 5682288 5919050 6176400 7102860 8878575 9470480 11838100 14205720 17757150 23676200 28411440 35514300 47352400 71028600 142057200