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5037000 = 233532373
BaseRepresentation
bin10011001101101111001000
3100110220110120
4103031233020
52242141000
6255543240
760546063
oct23155710
910426416
105037000
112930411
12182ab20
131074897
149518da
156976a0
hex4cdbc8

5037000 has 128 divisors (see below), whose sum is σ = 16623360. Its totient is φ = 1267200.

The previous prime is 5036989. The next prime is 5037001. The reversal of 5037000 is 7305.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (5037001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68964 + ... + 69036.

It is an arithmetic number, because the mean of its divisors is an integer number (129870).

Almost surely, 25037000 is an apocalyptic number.

5037000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5037000 is the 1200-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5037000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8311680).

5037000 is an abundant number, since it is smaller than the sum of its proper divisors (11586360).

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

5037000 is a wasteful number, since it uses less digits than its factorization.

5037000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 15.

The square root of 5037000 is about 2244.3261795024. The cubic root of 5037000 is about 171.4183525655.

It can be divided in two parts, 503 and 7000, that added together give a triangular number (7503 = T122).

The spelling of 5037000 in words is "five million, thirty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 73 75 92 100 115 120 125 138 146 150 184 200 219 230 250 276 292 300 345 365 375 438 460 500 552 575 584 600 690 730 750 876 920 1000 1095 1150 1380 1460 1500 1679 1725 1752 1825 2190 2300 2760 2875 2920 3000 3358 3450 3650 4380 4600 5037 5475 5750 6716 6900 7300 8395 8625 8760 9125 10074 10950 11500 13432 13800 14600 16790 17250 18250 20148 21900 23000 25185 27375 33580 34500 36500 40296 41975 43800 50370 54750 67160 69000 73000 83950 100740 109500 125925 167900 201480 209875 219000 251850 335800 419750 503700 629625 839500 1007400 1259250 1679000 2518500 5037000