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142922416 = 24721337379
BaseRepresentation
bin10001000010011…
…01001010110000
3100221221012200211
420201031022300
5243042004131
622103153504
73353551300
oct1041151260
9327835624
10142922416
11737487aa
123ba45894
13237c15a0
1414da5600
15c8325b1
hex884d2b0

142922416 has 120 divisors (see below), whose sum is σ = 357216720. Its totient is φ = 54867456.

The previous prime is 142922407. The next prime is 142922443. The reversal of 142922416 is 614229241.

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, 376915 + ... + 377293.

It is an arithmetic number, because the mean of its divisors is an integer number (2976806).

Almost surely, 2142922416 is an apocalyptic number.

142922416 is a gapful number since it is divisible by the number (16) 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 142922416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178608360).

142922416 is an abundant number, since it is smaller than the sum of its proper divisors (214294304).

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

142922416 is a wasteful number, since it uses less digits than its factorization.

142922416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 438 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 142922416 is about 11955.0163529792. The cubic root of 142922416 is about 522.8375645798.

The spelling of 142922416 in words is "one hundred forty-two million, nine hundred twenty-two thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 37 49 52 56 74 91 98 104 112 148 182 196 208 259 296 364 379 392 481 518 592 637 728 758 784 962 1036 1274 1456 1516 1813 1924 2072 2548 2653 3032 3367 3626 3848 4144 4927 5096 5306 6064 6734 7252 7696 9854 10192 10612 13468 14023 14504 18571 19708 21224 23569 26936 28046 29008 34489 37142 39416 42448 47138 53872 56092 68978 74284 78832 94276 98161 112184 137956 148568 182299 188552 196322 224368 241423 275912 297136 364598 377104 392644 482846 551824 687127 729196 785288 965692 1276093 1374254 1458392 1570576 1931384 2552186 2748508 2916784 3862768 5104372 5497016 8932651 10208744 10994032 17865302 20417488 35730604 71461208 142922416