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142824708 = 22351389127
BaseRepresentation
bin10001000001101…
…01010100000100
3100221202020200000
420200311110010
5243030342313
622101121300
73352663365
oct1040652404
9327666600
10142824708
1173691354
123b9b9230
1323788c80
1414d7bb6c
15c813673
hex8835504

142824708 has 144 divisors (see below), whose sum is σ = 410941440. Its totient is φ = 43110144.

The previous prime is 142824707. The next prime is 142824749. The reversal of 142824708 is 807428241.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (142824707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1124541 + ... + 1124667.

It is an arithmetic number, because the mean of its divisors is an integer number (2853760).

Almost surely, 2142824708 is an apocalyptic number.

142824708 is a gapful number since it is divisible by the number (18) 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 142824708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205470720).

142824708 is an abundant number, since it is smaller than the sum of its proper divisors (268116732).

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

142824708 is a wasteful number, since it uses less digits than its factorization.

142824708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 142824708 is about 11950.9291688973. The cubic root of 142824708 is about 522.7183925608.

The spelling of 142824708 in words is "one hundred forty-two million, eight hundred twenty-four thousand, seven hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 89 108 117 127 156 162 178 234 243 254 267 324 351 356 381 468 486 508 534 702 762 801 972 1053 1068 1143 1157 1404 1524 1602 1651 2106 2286 2314 2403 3159 3204 3302 3429 3471 4212 4572 4628 4806 4953 6318 6604 6858 6942 7209 9612 9906 10287 10413 11303 12636 13716 13884 14418 14859 19812 20574 20826 21627 22606 28836 29718 30861 31239 33909 41148 41652 43254 44577 45212 59436 61722 62478 67818 86508 89154 93717 101727 123444 124956 133731 135636 146939 178308 187434 203454 267462 281151 293878 305181 374868 401193 406908 440817 534924 562302 587756 610362 802386 881634 915543 1124604 1220724 1322451 1604772 1763268 1831086 2644902 2746629 3662172 3967353 5289804 5493258 7934706 10986516 11902059 15869412 23804118 35706177 47608236 71412354 142824708