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5352960 = 29351741
BaseRepresentation
bin10100011010111000000000
3101001221212210
4110122320000
52332243320
6310422120
763333204
oct24327000
911057783
105352960
113026838
121961940
131155642
149d4b04
1570b0e0
hex51ae00

5352960 has 160 divisors (see below), whose sum is σ = 18561312. Its totient is φ = 1310720.

The previous prime is 5352959. The next prime is 5352967. The reversal of 5352960 is 692535.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5352967) 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, 130540 + ... + 130580.

Almost surely, 25352960 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 5352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9280656).

5352960 is an abundant number, since it is smaller than the sum of its proper divisors (13208352).

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

5352960 is a wasteful number, since it uses less digits than its factorization.

5352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 5352960 is about 2313.6464725623. The cubic root of 5352960 is about 174.9301489935.

The spelling of 5352960 in words is "five million, three hundred fifty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 41 48 51 60 64 68 80 82 85 96 102 120 123 128 136 160 164 170 192 204 205 240 246 255 256 272 320 328 340 384 408 410 480 492 510 512 544 615 640 656 680 697 768 816 820 960 984 1020 1088 1230 1280 1312 1360 1394 1536 1632 1640 1920 1968 2040 2091 2176 2460 2560 2624 2720 2788 3264 3280 3485 3840 3936 4080 4182 4352 4920 5248 5440 5576 6528 6560 6970 7680 7872 8160 8364 8704 9840 10455 10496 10880 11152 13056 13120 13940 15744 16320 16728 19680 20910 20992 21760 22304 26112 26240 27880 31488 32640 33456 39360 41820 43520 44608 52480 55760 62976 65280 66912 78720 83640 89216 104960 111520 130560 133824 157440 167280 178432 223040 267648 314880 334560 356864 446080 535296 669120 892160 1070592 1338240 1784320 2676480 5352960