Search a number
-
+
5190374100 = 22352611811567
BaseRepresentation
bin1001101010101111…
…01101001011010100
3111101201121022201210
410311113231023110
541112213432400
62215011421420
7242423311002
oct46527551324
914351538653
105190374100
11222391597a
12100a2b4870
136494256a2
14373499a72
15205a0d950
hex1355ed2d4

5190374100 has 144 divisors (see below), whose sum is σ = 15357794816. Its totient is φ = 1353024000.

The previous prime is 5190374053. The next prime is 5190374107. The reversal of 5190374100 is 14730915.

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 (5190374107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3311517 + ... + 3313083.

Almost surely, 25190374100 is an apocalyptic number.

5190374100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5190374100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7678897408).

5190374100 is an abundant number, since it is smaller than the sum of its proper divisors (10167420716).

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

5190374100 is a wasteful number, since it uses less digits than its factorization.

5190374100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 5190374100 is about 72044.2509850717. The cubic root of 5190374100 is about 1731.4085335759.

The spelling of 5190374100 in words is "five billion, one hundred ninety million, three hundred seventy-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 181 183 244 300 305 362 366 543 610 724 732 905 915 1086 1220 1525 1567 1810 1830 2172 2715 3050 3134 3620 3660 4525 4575 4701 5430 6100 6268 7835 9050 9150 9402 10860 11041 13575 15670 18100 18300 18804 22082 23505 27150 31340 33123 39175 44164 47010 54300 55205 66246 78350 94020 95587 110410 117525 132492 156700 165615 191174 220820 235050 276025 283627 286761 331230 382348 470100 477935 552050 567254 573522 662460 828075 850881 955870 1104100 1134508 1147044 1418135 1433805 1656150 1701762 1911740 2389675 2836270 2867610 3312300 3403524 4254405 4779350 5672540 5735220 7090675 7169025 8508810 9558700 14181350 14338050 17017620 17301247 21272025 28362700 28676100 34602494 42544050 51903741 69204988 85088100 86506235 103807482 173012470 207614964 259518705 346024940 432531175 519037410 865062350 1038074820 1297593525 1730124700 2595187050 5190374100