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168713440 = 2557178861
BaseRepresentation
bin10100000111001…
…01110011100000
3102202110112022221
422003211303200
5321142312230
624424040424
74116016630
oct1203456340
9382415287
10168713440
11872639a5
1248603114
1328c5184c
141859a6c0
15ec2927a
hexa0e5ce0

168713440 has 96 divisors (see below), whose sum is σ = 482376384. Its totient is φ = 54435840.

The previous prime is 168713431. The next prime is 168713443. The reversal of 168713440 is 44317861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 168713396 and 168713405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168713443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14610 + ... + 23470.

It is an arithmetic number, because the mean of its divisors is an integer number (5024754).

Almost surely, 2168713440 is an apocalyptic number.

168713440 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 168713440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241188192).

168713440 is an abundant number, since it is smaller than the sum of its proper divisors (313662944).

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

168713440 is a wasteful number, since it uses less digits than its factorization.

168713440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8900 (or 8892 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 168713440 is about 12988.9737854844. The cubic root of 168713440 is about 552.5648143014.

The spelling of 168713440 in words is "one hundred sixty-eight million, seven hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 224 238 272 280 340 476 544 560 595 680 952 1120 1190 1360 1904 2380 2720 3808 4760 8861 9520 17722 19040 35444 44305 62027 70888 88610 124054 141776 150637 177220 248108 283552 301274 310135 354440 496216 602548 620270 708880 753185 992432 1054459 1205096 1240540 1417760 1506370 1984864 2108918 2410192 2481080 3012740 4217836 4820384 4962160 5272295 6025480 8435672 9924320 10544590 12050960 16871344 21089180 24101920 33742688 42178360 84356720 168713440