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142842304 = 26111959181
BaseRepresentation
bin10001000001110…
…01100111000000
3100221210010210201
420200321213000
5243031423204
622101334544
73353065603
oct1040714700
9327703721
10142842304
11736a35a0
123ba07454
1323793c97
1414d8433a
15c8189a4
hex88399c0

142842304 has 112 divisors (see below), whose sum is σ = 332841600. Its totient is φ = 60134400.

The previous prime is 142842299. The next prime is 142842307. The reversal of 142842304 is 403248241.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142842307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 789094 + ... + 789274.

It is an arithmetic number, because the mean of its divisors is an integer number (2971800).

Almost surely, 2142842304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142842304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166420800).

142842304 is an abundant number, since it is smaller than the sum of its proper divisors (189999296).

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

142842304 is a wasteful number, since it uses less digits than its factorization.

142842304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 142842304 is about 11951.6653232928. The cubic root of 142842304 is about 522.7398579764.

The spelling of 142842304 in words is "one hundred forty-two million, eight hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 59 64 76 88 118 152 176 181 209 236 304 352 362 418 472 608 649 704 724 836 944 1121 1216 1298 1448 1672 1888 1991 2242 2596 2896 3344 3439 3776 3982 4484 5192 5792 6688 6878 7964 8968 10384 10679 11584 12331 13376 13756 15928 17936 20768 21358 24662 27512 31856 35872 37829 41536 42716 49324 55024 63712 71744 75658 85432 98648 110048 117469 127424 151316 170864 197296 202901 220096 234938 302632 341728 394592 405802 469876 605264 683456 789184 811604 939752 1210528 1623208 1879504 2231911 2421056 3246416 3759008 4463822 6492832 7518016 8927644 12985664 17855288 35710576 71421152 142842304