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142545920 = 2105112531
BaseRepresentation
bin10000111111100…
…01010000000000
3100221020002020112
420133301100000
5242442432140
622051130452
73350422526
oct1037612000
9327202215
10142545920
1173510950
123b8a3a28
13236bc0ca
1414d08316
15c7aac65
hex87f1400

142545920 has 88 divisors (see below), whose sum is σ = 373176288. Its totient is φ = 51814400.

The previous prime is 142545899. The next prime is 142545929. The reversal of 142545920 is 29545241.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142545929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55055 + ... + 57585.

Almost surely, 2142545920 is an apocalyptic number.

142545920 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 142545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186588144).

142545920 is an abundant number, since it is smaller than the sum of its proper divisors (230630368).

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

142545920 is a wasteful number, since it uses less digits than its factorization.

142545920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 142545920 is about 11939.2596085352. The cubic root of 142545920 is about 522.3780627063.

The spelling of 142545920 in words is "one hundred forty-two million, five hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2531 2560 2816 3520 5062 5120 5632 7040 10124 11264 12655 14080 20248 25310 27841 28160 40496 50620 55682 56320 80992 101240 111364 139205 161984 202480 222728 278410 323968 404960 445456 556820 647936 809920 890912 1113640 1295872 1619840 1781824 2227280 2591744 3239680 3563648 4454560 6479360 7127296 8909120 12958720 14254592 17818240 28509184 35636480 71272960 142545920