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5137920 = 29325223
BaseRepresentation
bin10011100110011000000000
3100200000220100
4103212120000
52303403140
6302042400
761446234
oct23463000
910600810
105137920
11299a217
121879400
1310ab7b8
1497a5c4
156b7530
hex4e6600

5137920 has 120 divisors (see below), whose sum is σ = 17873856. Its totient is φ = 1363968.

The previous prime is 5137919. The next prime is 5137921. The reversal of 5137920 is 297315.

It is an interprime number because it is at equal distance from previous prime (5137919) and next prime (5137921).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5137921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22929 + ... + 23151.

Almost surely, 25137920 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 5137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8936928).

5137920 is an abundant number, since it is smaller than the sum of its proper divisors (12735936).

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

5137920 is a wasteful number, since it uses less digits than its factorization.

5137920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 5137920 is about 2266.6980389986. The cubic root of 5137920 is about 172.5556216347. Note that the first 3 decimals are identical.

The spelling of 5137920 in words is "five million, one hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 223 240 256 288 320 360 384 446 480 512 576 640 669 720 768 892 960 1115 1152 1280 1338 1440 1536 1784 1920 2007 2230 2304 2560 2676 2880 3345 3568 3840 4014 4460 4608 5352 5760 6690 7136 7680 8028 8920 10035 10704 11520 13380 14272 16056 17840 20070 21408 23040 26760 28544 32112 35680 40140 42816 53520 57088 64224 71360 80280 85632 107040 114176 128448 142720 160560 171264 214080 256896 285440 321120 342528 428160 513792 570880 642240 856320 1027584 1284480 1712640 2568960 5137920