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142350480 = 24335591117
BaseRepresentation
bin10000111110000…
…01100010010000
3100220212011011000
420133001202100
5242420203410
622043022000
73345646656
oct1037014220
9326764130
10142350480
1173398028
123b80a900
132365116c
1414c96dd6
15c76cdc0
hex87c1890

142350480 has 160 divisors (see below), whose sum is σ = 499075200. Its totient is φ = 37283328.

The previous prime is 142350479. The next prime is 142350491. The reversal of 142350480 is 84053241.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 126882 + ... + 127998.

It is an arithmetic number, because the mean of its divisors is an integer number (3119220).

Almost surely, 2142350480 is an apocalyptic number.

142350480 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 142350480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249537600).

142350480 is an abundant number, since it is smaller than the sum of its proper divisors (356724720).

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

142350480 is a wasteful number, since it uses less digits than its factorization.

142350480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 142350480 is about 11931.0720390081. The cubic root of 142350480 is about 522.1392150816.

The spelling of 142350480 in words is "one hundred forty-two million, three hundred fifty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 59 60 72 80 90 108 118 120 135 144 177 180 216 236 240 270 295 354 360 432 472 531 540 590 708 720 885 944 1062 1080 1117 1180 1416 1593 1770 2124 2160 2234 2360 2655 2832 3186 3351 3540 4248 4468 4720 5310 5585 6372 6702 7080 7965 8496 8936 10053 10620 11170 12744 13404 14160 15930 16755 17872 20106 21240 22340 25488 26808 30159 31860 33510 40212 42480 44680 50265 53616 60318 63720 65903 67020 80424 89360 100530 120636 127440 131806 134040 150795 160848 197709 201060 241272 263612 268080 301590 329515 395418 402120 482544 527224 593127 603180 659030 790836 804240 988545 1054448 1186254 1206360 1318060 1581672 1779381 1977090 2372508 2412720 2636120 2965635 3163344 3558762 3954180 4745016 5272240 5931270 7117524 7908360 8896905 9490032 11862540 14235048 15816720 17793810 23725080 28470096 35587620 47450160 71175240 142350480