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146942640 = 24335135233
BaseRepresentation
bin10001100001000…
…10101010110000
3101020111110102000
420300202222300
5300104131030
622325254000
73432664125
oct1060425260
9336443360
10146942640
1175a441a9
1241264300
132459b410
141573074c
15cd78860
hex8c22ab0

146942640 has 160 divisors (see below), whose sum is σ = 545173440. Its totient is φ = 36163584.

The previous prime is 146942639. The next prime is 146942671. The reversal of 146942640 is 46249641.

146942640 is a `hidden beast` number, since 1 + 4 + 6 + 9 + 4 + 2 + 640 = 666.

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 = 146942595 and 146942604.

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, 25464 + ... + 30696.

It is an arithmetic number, because the mean of its divisors is an integer number (3407334).

Almost surely, 2146942640 is an apocalyptic number.

146942640 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 146942640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272586720).

146942640 is an abundant number, since it is smaller than the sum of its proper divisors (398230800).

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

146942640 is a wasteful number, since it uses less digits than its factorization.

146942640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5268 (or 5256 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 146942640 is about 12121.9899356500. The cubic root of 146942640 is about 527.6945547405.

The spelling of 146942640 in words is "one hundred forty-six million, nine hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5233 5616 7020 9360 10466 14040 15699 20932 26165 28080 31398 41864 47097 52330 62796 68029 78495 83728 94194 104660 125592 136058 141291 156990 188388 204087 209320 235485 251184 272116 282582 313980 340145 376776 408174 418640 470970 544232 565164 612261 627960 680290 706455 753552 816348 941940 1020435 1088464 1130328 1224522 1255920 1360580 1412910 1632696 1836783 1883880 2040870 2260656 2449044 2721160 2825820 3061305 3265392 3673566 3767760 4081740 4898088 5442320 5651640 6122610 7347132 8163480 9183915 9796176 11303280 12245220 14694264 16326960 18367830 24490440 29388528 36735660 48980880 73471320 146942640