Search a number
-
+
151751340 = 223351321617
BaseRepresentation
bin10010000101110…
…00101010101100
3101120112202201000
421002320222230
5302322020330
623020320300
73521602506
oct1102705254
9346482630
10151751340
1178729034
12429a3090
13255930c0
1416222d76
15d4c8560
hex90b8aac

151751340 has 96 divisors (see below), whose sum is σ = 508455360. Its totient is φ = 37352448.

The previous prime is 151751329. The next prime is 151751357. The reversal of 151751340 is 43157151.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3789 + ... + 17828.

It is an arithmetic number, because the mean of its divisors is an integer number (5296410).

Almost surely, 2151751340 is an apocalyptic number.

151751340 is a gapful number since it is divisible by the number (10) 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 151751340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254227680).

151751340 is an abundant number, since it is smaller than the sum of its proper divisors (356704020).

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

151751340 is a wasteful number, since it uses less digits than its factorization.

151751340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21648 (or 21640 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 151751340 is about 12318.7393835571. The cubic root of 151751340 is about 533.3891512760.

The spelling of 151751340 in words is "one hundred fifty-one million, seven hundred fifty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 21617 43234 64851 86468 108085 129702 194553 216170 259404 281021 324255 389106 432340 562042 583659 648510 778212 843063 972765 1124084 1167318 1297020 1405105 1686126 1945530 2334636 2529189 2810210 2918295 3372252 3891060 4215315 5058378 5620420 5836590 7587567 8430630 10116756 11673180 12645945 15175134 16861260 25291890 30350268 37937835 50583780 75875670 151751340