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5384640 = 26357179
BaseRepresentation
bin10100100010100111000000
3101010120100010
4110202213000
52334302030
6311224520
763524442
oct24424700
911116303
105384640
113048618
121978140
131166ba1
14a02492
157156b0
hex5229c0

5384640 has 112 divisors (see below), whose sum is σ = 17556480. Its totient is φ = 1397760.

The previous prime is 5384627. The next prime is 5384651. The reversal of 5384640 is 464835.

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 = 5384598 and 5384607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68121 + ... + 68199.

Almost surely, 25384640 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 5384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8778240).

5384640 is an abundant number, since it is smaller than the sum of its proper divisors (12171840).

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

5384640 is a wasteful number, since it uses less digits than its factorization.

5384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 5384640 is about 2320.4827084036. The cubic root of 5384640 is about 175.2745622040.

The spelling of 5384640 in words is "five million, three hundred eighty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 79 80 96 120 142 158 160 192 213 237 240 284 316 320 355 395 426 474 480 568 632 710 790 852 948 960 1065 1136 1185 1264 1420 1580 1704 1896 2130 2272 2370 2528 2840 3160 3408 3792 4260 4544 4740 5056 5609 5680 6320 6816 7584 8520 9480 11218 11360 12640 13632 15168 16827 17040 18960 22436 22720 25280 28045 33654 34080 37920 44872 56090 67308 68160 75840 84135 89744 112180 134616 168270 179488 224360 269232 336540 358976 448720 538464 673080 897440 1076928 1346160 1794880 2692320 5384640