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142628520 = 233523311667
BaseRepresentation
bin10001000000001…
…01011010101000
3100221101021112210
420200011122220
5243003103040
622053005120
73351215406
oct1040053250
9327337483
10142628520
1173567a11
123b9237a0
132371a898
1414d2a476
15c7c5480
hex88056a8

142628520 has 128 divisors (see below), whose sum is σ = 461168640. Its totient is φ = 35185920.

The previous prime is 142628513. The next prime is 142628533. The reversal of 142628520 is 25826241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84727 + ... + 86393.

It is an arithmetic number, because the mean of its divisors is an integer number (3602880).

Almost surely, 2142628520 is an apocalyptic number.

142628520 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 142628520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230584320).

142628520 is an abundant number, since it is smaller than the sum of its proper divisors (318540120).

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

142628520 is a wasteful number, since it uses less digits than its factorization.

142628520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 142628520 is about 11942.7182835400. The cubic root of 142628520 is about 522.4789427043.

The spelling of 142628520 in words is "one hundred forty-two million, six hundred twenty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 31 40 46 60 62 69 92 93 115 120 124 138 155 184 186 230 248 276 310 345 372 460 465 552 620 690 713 744 920 930 1240 1380 1426 1667 1860 2139 2760 2852 3334 3565 3720 4278 5001 5704 6668 7130 8335 8556 10002 10695 13336 14260 16670 17112 20004 21390 25005 28520 33340 38341 40008 42780 50010 51677 66680 76682 85560 100020 103354 115023 153364 155031 191705 200040 206708 230046 258385 306728 310062 383410 413416 460092 516770 575115 620124 766820 775155 920184 1033540 1150230 1188571 1240248 1533640 1550310 2067080 2300460 2377142 3100620 3565713 4600920 4754284 5942855 6201240 7131426 9508568 11885710 14262852 17828565 23771420 28525704 35657130 47542840 71314260 142628520