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142920492 = 2231113372251
BaseRepresentation
bin10001000010011…
…00101100101100
3100221221010001120
420201030230230
5243041423432
622103140540
73353542551
oct1041145454
9327833046
10142920492
1173747310
123ba44750
13237c0750
1414da4a28
15c831c2c
hex884cb2c

142920492 has 96 divisors (see below), whose sum is σ = 402549504. Its totient is φ = 38880000.

The previous prime is 142920487. The next prime is 142920493. The reversal of 142920492 is 294029241.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (142920493) by changing a digit.

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, 62367 + ... + 64617.

It is an arithmetic number, because the mean of its divisors is an integer number (4193224).

Almost surely, 2142920492 is an apocalyptic number.

142920492 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 142920492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201274752).

142920492 is an abundant number, since it is smaller than the sum of its proper divisors (259629012).

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

142920492 is a wasteful number, since it uses less digits than its factorization.

142920492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 142920492 is about 11954.9358843952. The cubic root of 142920492 is about 522.8352184491.

The spelling of 142920492 in words is "one hundred forty-two million, nine hundred twenty thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 37 39 44 52 66 74 78 111 132 143 148 156 222 286 407 429 444 481 572 814 858 962 1221 1443 1628 1716 1924 2251 2442 2886 4502 4884 5291 5772 6753 9004 10582 13506 15873 21164 24761 27012 29263 31746 49522 58526 63492 74283 83287 87789 99044 117052 148566 166574 175578 249861 297132 321893 333148 351156 499722 643786 916157 965679 999444 1082731 1287572 1832314 1931358 2165462 2748471 3248193 3664628 3862716 4330924 5496942 6496386 10993884 11910041 12992772 23820082 35730123 47640164 71460246 142920492