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142474480 = 2454383499
BaseRepresentation
bin10000111110111…
…11110011110000
3100221002110020121
420133133303300
5242433140410
622045420024
73350004331
oct1037376360
9327073217
10142474480
1173472205
123b86a614
1323695735
1414cca288
15c7949da
hex87dfcf0

142474480 has 80 divisors (see below), whose sum is σ = 343728000. Its totient is φ = 54883584.

The previous prime is 142474447. The next prime is 142474499. The reversal of 142474480 is 84474241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285271 + ... + 285769.

It is an arithmetic number, because the mean of its divisors is an integer number (4296600).

Almost surely, 2142474480 is an apocalyptic number.

142474480 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 142474480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171864000).

142474480 is an abundant number, since it is smaller than the sum of its proper divisors (201253520).

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

142474480 is a wasteful number, since it uses less digits than its factorization.

142474480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 34.

The square root of 142474480 is about 11936.2674232777. The cubic root of 142474480 is about 522.2907810666.

The spelling of 142474480 in words is "one hundred forty-two million, four hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 83 86 166 172 215 332 344 415 430 499 664 688 830 860 998 1328 1660 1720 1996 2495 3320 3440 3569 3992 4990 6640 7138 7984 9980 14276 17845 19960 21457 28552 35690 39920 41417 42914 57104 71380 82834 85828 107285 142760 165668 171656 207085 214570 285520 331336 343312 414170 429140 662672 828340 858280 1656680 1716560 1780931 3313360 3561862 7123724 8904655 14247448 17809310 28494896 35618620 71237240 142474480