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158738640 = 243523149193
BaseRepresentation
bin10010111011000…
…10100011010000
3102001200202110220
421131202203100
5311114114030
623430153040
73635153604
oct1135424320
9361622426
10158738640
1181670765
12451b2780
1326b6b5b8
1417121504
15de08a10
hex97628d0

158738640 has 160 divisors (see below), whose sum is σ = 519609600. Its totient is φ = 40009728.

The previous prime is 158738633. The next prime is 158738651. The reversal of 158738640 is 46837851.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 158738592 and 158738601.

It is a congruent number.

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, 822384 + ... + 822576.

It is an arithmetic number, because the mean of its divisors is an integer number (3247560).

Almost surely, 2158738640 is an apocalyptic number.

158738640 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 158738640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259804800).

158738640 is an abundant number, since it is smaller than the sum of its proper divisors (360870960).

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

158738640 is a wasteful number, since it uses less digits than its factorization.

158738640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 158738640 is about 12599.1523524402. The cubic root of 158738640 is about 541.4531505079.

The spelling of 158738640 in words is "one hundred fifty-eight million, seven hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 149 184 193 230 240 276 298 345 368 386 447 460 552 579 596 690 745 772 894 920 965 1104 1158 1192 1380 1490 1544 1788 1840 1930 2235 2316 2384 2760 2895 2980 3088 3427 3576 3860 4439 4470 4632 5520 5790 5960 6854 7152 7720 8878 8940 9264 10281 11580 11920 13317 13708 15440 17135 17756 17880 20562 22195 23160 26634 27416 28757 34270 35512 35760 41124 44390 46320 51405 53268 54832 57514 66585 68540 71024 82248 86271 88780 102810 106536 115028 133170 137080 143785 164496 172542 177560 205620 213072 230056 266340 274160 287570 345084 355120 411240 431355 460112 532680 575140 661411 690168 822480 862710 1065360 1150280 1322822 1380336 1725420 1984233 2300560 2645644 3307055 3450840 3968466 5291288 6614110 6901680 7936932 9921165 10582576 13228220 15873864 19842330 26456440 31747728 39684660 52912880 79369320 158738640