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5159440 = 2451121341
BaseRepresentation
bin10011101011101000010000
3100201010102101
4103223220100
52310100230
6302330144
761566046
oct23535020
910633371
105159440
112a04400
121889954
1310b8530
14984396
156bdaca
hex4eba10

5159440 has 120 divisors (see below), whose sum is σ = 14545944. Its totient is φ = 1689600.

The previous prime is 5159389. The next prime is 5159443. The reversal of 5159440 is 449515.

5159440 = T163 + T164 + ... + T327.

It can be written as a sum of positive squares in 4 ways, for example, as 123904 + 5035536 = 352^2 + 2244^2 .

It is a super-2 number, since 2×51594402 = 53239642227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5159399 and 5159408.

It is not an unprimeable number, because it can be changed into a prime (5159443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125820 + ... + 125860.

Almost surely, 25159440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5159440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7272972).

5159440 is an abundant number, since it is smaller than the sum of its proper divisors (9386504).

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

5159440 is a wasteful number, since it uses less digits than its factorization.

5159440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 5159440 is about 2271.4400718487. The cubic root of 5159440 is about 172.7962004766.

The spelling of 5159440 in words is "five million, one hundred fifty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 41 44 52 55 65 80 82 88 104 110 121 130 143 164 176 205 208 220 242 260 286 328 410 440 451 484 520 533 572 605 656 715 820 880 902 968 1040 1066 1144 1210 1430 1573 1640 1804 1936 2132 2255 2288 2420 2665 2860 3146 3280 3608 4264 4510 4840 4961 5330 5720 5863 6292 7216 7865 8528 9020 9680 9922 10660 11440 11726 12584 15730 18040 19844 21320 23452 24805 25168 29315 31460 36080 39688 42640 46904 49610 58630 62920 64493 79376 93808 99220 117260 125840 128986 198440 234520 257972 322465 396880 469040 515944 644930 1031888 1289860 2579720 5159440