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146238840 = 233251136929
BaseRepresentation
bin10001011011101…
…10110101111000
3101012011200222100
420231312311320
5244414120330
622302223400
73424003206
oct1055666570
9335150870
10146238840
1175603450
1240b84b60
13243b2c77
14155ca076
15cc8a060
hex8b76d78

146238840 has 96 divisors (see below), whose sum is σ = 518497200. Its totient is φ = 35450880.

The previous prime is 146238821. The next prime is 146238871. The reversal of 146238840 is 48832641.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 146238795 and 146238804.

It is a congruent number.

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, 14505 + ... + 22424.

Almost surely, 2146238840 is an apocalyptic number.

146238840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146238840 is an abundant number, since it is smaller than the sum of its proper divisors (372258360).

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

146238840 is a wasteful number, since it uses less digits than its factorization.

146238840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36957 (or 36950 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 146238840 is about 12092.9252044325. The cubic root of 146238840 is about 526.8507199122.

The spelling of 146238840 in words is "one hundred forty-six million, two hundred thirty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 36929 73858 110787 147716 184645 221574 295432 332361 369290 406219 443148 553935 664722 738580 812438 886296 1107870 1218657 1329444 1477160 1624876 1661805 2031095 2215740 2437314 2658888 3249752 3323610 3655971 4062190 4431480 4874628 6093285 6647220 7311942 8124380 9749256 12186570 13294440 14623884 16248760 18279855 24373140 29247768 36559710 48746280 73119420 146238840