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5399040 = 29351937
BaseRepresentation
bin10100100110001000000000
3101011022002110
4110212020000
52340232130
6311415320
763614433
oct24461000
911138073
105399040
113058419
121984540
1311705ca
14a0781a
15719ab0
hex526200

5399040 has 160 divisors (see below), whose sum is σ = 18659520. Its totient is φ = 1327104.

The previous prime is 5399039. The next prime is 5399041. The reversal of 5399040 is 409935.

5399040 = T137 + T138 + ... + T326.

It is an interprime number because it is at equal distance from previous prime (5399039) and next prime (5399041).

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5398989 and 5399007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5399041) 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, 145902 + ... + 145938.

It is an arithmetic number, because the mean of its divisors is an integer number (116622).

Almost surely, 25399040 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 5399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9329760).

5399040 is an abundant number, since it is smaller than the sum of its proper divisors (13260480).

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

5399040 is a wasteful number, since it uses less digits than its factorization.

5399040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 5399040 is about 2323.5834394314. The cubic root of 5399040 is about 175.4306671691.

The spelling of 5399040 in words is "five million, three hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 37 38 40 48 57 60 64 74 76 80 95 96 111 114 120 128 148 152 160 185 190 192 222 228 240 256 285 296 304 320 370 380 384 444 456 480 512 555 570 592 608 640 703 740 760 768 888 912 960 1110 1140 1184 1216 1280 1406 1480 1520 1536 1776 1824 1920 2109 2220 2280 2368 2432 2560 2812 2960 3040 3515 3552 3648 3840 4218 4440 4560 4736 4864 5624 5920 6080 7030 7104 7296 7680 8436 8880 9120 9472 9728 10545 11248 11840 12160 14060 14208 14592 16872 17760 18240 18944 21090 22496 23680 24320 28120 28416 29184 33744 35520 36480 42180 44992 47360 48640 56240 56832 67488 71040 72960 84360 89984 94720 112480 134976 142080 145920 168720 179968 224960 269952 284160 337440 359936 449920 539904 674880 899840 1079808 1349760 1799680 2699520 5399040