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158808640 = 26529109157
BaseRepresentation
bin10010111011100…
…11101001000000
3102001211022111111
421131303221000
5311123334030
623431453104
73635564644
oct1135635100
9361738444
10158808640
1181709311
1245227194
1326b94413
141713cc24
15de1e62a
hex9773a40

158808640 has 112 divisors (see below), whose sum is σ = 397306800. Its totient is φ = 60383232.

The previous prime is 158808623. The next prime is 158808647. The reversal of 158808640 is 46808851.

It can be written as a sum of positive squares in 8 ways, for example, as 652864 + 158155776 = 808^2 + 12576^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 158808593 and 158808602.

It is not an unprimeable number, because it can be changed into a prime (158808647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1011442 + ... + 1011598.

Almost surely, 2158808640 is an apocalyptic number.

158808640 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 158808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198653400).

158808640 is an abundant number, since it is smaller than the sum of its proper divisors (238498160).

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

158808640 is a wasteful number, since it uses less digits than its factorization.

158808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 158808640 is about 12601.9300109150. The cubic root of 158808640 is about 541.5327281722.

The spelling of 158808640 in words is "one hundred fifty-eight million, eight hundred eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 109 116 145 157 160 218 232 290 314 320 436 464 545 580 628 785 872 928 1090 1160 1256 1570 1744 1856 2180 2320 2512 3140 3161 3488 4360 4553 4640 5024 6280 6322 6976 8720 9106 9280 10048 12560 12644 15805 17113 17440 18212 22765 25120 25288 31610 34226 34880 36424 45530 50240 50576 63220 68452 72848 85565 91060 101152 126440 136904 145696 171130 182120 202304 252880 273808 291392 342260 364240 496277 505760 547616 684520 728480 992554 1011520 1095232 1369040 1456960 1985108 2481385 2738080 3970216 4962770 5476160 7940432 9925540 15880864 19851080 31761728 39702160 79404320 158808640