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142229736 = 233311311931
BaseRepresentation
bin10000111101001…
…00000011101000
3100220122000112000
420132210003220
5242402322421
622040251000
73344634645
oct1036440350
9326560460
10142229736
1173315340
123b770a60
132360b20c
1414c64dcc
15c747226
hex87a40e8

142229736 has 128 divisors (see below), whose sum is σ = 445132800. Its totient is φ = 41688000.

The previous prime is 142229729. The next prime is 142229741. The reversal of 142229736 is 637922241.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 142229736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72691 + ... + 74621.

It is an arithmetic number, because the mean of its divisors is an integer number (3477600).

Almost surely, 2142229736 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 142229736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222566400).

142229736 is an abundant number, since it is smaller than the sum of its proper divisors (302903064).

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

142229736 is a wasteful number, since it uses less digits than its factorization.

142229736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1978 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 142229736 is about 11926.0109005484. The cubic root of 142229736 is about 521.9915443207.

The spelling of 142229736 in words is "one hundred forty-two million, two hundred twenty-nine thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 88 93 99 108 124 132 186 198 216 248 264 279 297 341 372 396 558 594 682 744 792 837 1023 1116 1188 1364 1674 1931 2046 2232 2376 2728 3069 3348 3862 4092 5793 6138 6696 7724 8184 9207 11586 12276 15448 17379 18414 21241 23172 24552 34758 36828 42482 46344 52137 59861 63723 69516 73656 84964 104274 119722 127446 139032 169928 179583 191169 208548 239444 254892 359166 382338 417096 478888 509784 538749 573507 658471 718332 764676 1077498 1147014 1316942 1436664 1529352 1616247 1975413 2154996 2294028 2633884 3232494 3950826 4309992 4588056 5267768 5926239 6464988 7901652 11852478 12929976 15803304 17778717 23704956 35557434 47409912 71114868 142229736