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142654020 = 223597127193
BaseRepresentation
bin10001000000010…
…11101001000100
3100221102120112020
420200023221010
5243004412040
622053323140
73351352635
oct1040135104
9327376466
10142654020
1173585093
123b9364b0
1323729382
1414d3588c
15c7cccd0
hex880ba44

142654020 has 96 divisors (see below), whose sum is σ = 408834048. Its totient is φ = 37158912.

The previous prime is 142653989. The next prime is 142654037. The reversal of 142654020 is 20456241.

142654020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 739044 + ... + 739236.

It is an arithmetic number, because the mean of its divisors is an integer number (4258688).

Almost surely, 2142654020 is an apocalyptic number.

142654020 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 142654020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204417024).

142654020 is an abundant number, since it is smaller than the sum of its proper divisors (266180028).

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

142654020 is a wasteful number, since it uses less digits than its factorization.

142654020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 142654020 is about 11943.7858319714. The cubic root of 142654020 is about 522.5100781768.

The spelling of 142654020 in words is "one hundred forty-two million, six hundred fifty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 127 193 194 254 291 381 386 388 485 508 579 582 635 762 772 965 970 1158 1164 1270 1455 1524 1905 1930 1940 2316 2540 2895 2910 3810 3860 5790 5820 7620 11580 12319 18721 24511 24638 36957 37442 49022 49276 56163 61595 73533 73914 74884 93605 98044 112326 122555 123190 147066 147828 184785 187210 224652 245110 246380 280815 294132 367665 369570 374420 490220 561630 735330 739140 1123260 1470660 2377567 4755134 7132701 9510268 11887835 14265402 23775670 28530804 35663505 47551340 71327010 142654020