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142349040 = 24325211937
BaseRepresentation
bin10000111110000…
…01001011110000
3100220212002011200
420133001023300
5242420132130
622043011200
73345642531
oct1037011360
9326762150
10142349040
1173396a39
123b809b00
1323650602
1414c96688
15c76c760
hex87c12f0

142349040 has 120 divisors (see below), whose sum is σ = 480833808. Its totient is φ = 37739520.

The previous prime is 142349017. The next prime is 142349111. The reversal of 142349040 is 40943241.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 142348995 and 142349013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151452 + ... + 152388.

Almost surely, 2142349040 is an apocalyptic number.

142349040 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 142349040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240416904).

142349040 is an abundant number, since it is smaller than the sum of its proper divisors (338484768).

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

142349040 is a wasteful number, since it uses less digits than its factorization.

142349040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 142349040 is about 11931.0116922246. The cubic root of 142349040 is about 522.1374544436.

The spelling of 142349040 in words is "one hundred forty-two million, three hundred forty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 211 240 360 422 633 720 844 937 1055 1266 1688 1874 1899 2110 2532 2811 3165 3376 3748 3798 4220 4685 5064 5622 6330 7496 7596 8433 8440 9370 9495 10128 11244 12660 14055 14992 15192 16866 16880 18740 18990 22488 25320 28110 30384 33732 37480 37980 42165 44976 50640 56220 67464 74960 75960 84330 112440 134928 151920 168660 197707 224880 337320 395414 593121 674640 790828 988535 1186242 1581656 1779363 1977070 2372484 2965605 3163312 3558726 3954140 4744968 5931210 7117452 7908280 8896815 9489936 11862420 14234904 15816560 17793630 23724840 28469808 35587260 47449680 71174520 142349040