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142003992 = 233131741653
BaseRepresentation
bin10000111011011…
…00111100011000
3100220012112212010
420131230330120
5242323111432
622031345520
73343004544
oct1035547430
9326175763
10142003992
1173180779
123b6822a0
132355c540
1414c06a24
15c7003cc
hex876cf18

142003992 has 128 divisors (see below), whose sum is σ = 415316160. Its totient is φ = 40058880.

The previous prime is 142003991. The next prime is 142003993. The reversal of 142003992 is 299300241.

142003992 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142003991) and next prime (142003993).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142003991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217138 + ... + 217790.

Almost surely, 2142003992 is an apocalyptic number.

142003992 is a gapful number since it is divisible by the number (12) 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 142003992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207658080).

142003992 is an abundant number, since it is smaller than the sum of its proper divisors (273312168).

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

142003992 is a wasteful number, since it uses less digits than its factorization.

142003992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 142003992 is about 11916.5427872349. The cubic root of 142003992 is about 521.7152334731.

The spelling of 142003992 in words is "one hundred forty-two million, three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 41 51 52 68 78 82 102 104 123 136 156 164 204 221 246 312 328 408 442 492 533 653 663 697 884 984 1066 1306 1326 1394 1599 1768 1959 2091 2132 2612 2652 2788 3198 3918 4182 4264 5224 5304 5576 6396 7836 8364 8489 9061 11101 12792 15672 16728 16978 18122 22202 25467 26773 27183 33303 33956 36244 44404 50934 53546 54366 66606 67912 72488 80319 88808 101868 107092 108732 133212 144313 160638 203736 214184 217464 266424 288626 321276 348049 432939 455141 577252 642552 696098 865878 910282 1044147 1154504 1365423 1392196 1731756 1820564 2088294 2730846 2784392 3463512 3641128 4176588 5461692 5916833 8353176 10923384 11833666 17750499 23667332 35500998 47334664 71001996 142003992