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5902080 = 28352953
BaseRepresentation
bin10110100000111100000000
3102002212010120
4112200330000
53002331310
6330300240
7101111142
oct26407400
912085116
105902080
113371358
121b87680
1312b8572
14ad8c92
157b8b70
hex5a0f00

5902080 has 144 divisors (see below), whose sum is σ = 19867680. Its totient is φ = 1490944.

The previous prime is 5902063. The next prime is 5902081. The reversal of 5902080 is 802095.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 5902080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5902081) 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, 111334 + ... + 111386.

It is an arithmetic number, because the mean of its divisors is an integer number (137970).

Almost surely, 25902080 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 5902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9933840).

5902080 is an abundant number, since it is smaller than the sum of its proper divisors (13965600).

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

5902080 is a wasteful number, since it uses less digits than its factorization.

5902080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 5902080 is about 2429.4196837928. The cubic root of 5902080 is about 180.7181188737.

The spelling of 5902080 in words is "five million, nine hundred two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 53 58 60 64 80 87 96 106 116 120 128 145 159 160 174 192 212 232 240 256 265 290 318 320 348 384 424 435 464 480 530 580 636 640 696 768 795 848 870 928 960 1060 1160 1272 1280 1392 1537 1590 1696 1740 1856 1920 2120 2320 2544 2784 3074 3180 3392 3480 3712 3840 4240 4611 4640 5088 5568 6148 6360 6784 6960 7424 7685 8480 9222 9280 10176 11136 12296 12720 13568 13920 15370 16960 18444 18560 20352 22272 23055 24592 25440 27840 30740 33920 36888 37120 40704 46110 49184 50880 55680 61480 67840 73776 92220 98368 101760 111360 122960 147552 184440 196736 203520 245920 295104 368880 393472 491840 590208 737760 983680 1180416 1475520 1967360 2951040 5902080