Search a number
-
+
151828680 = 23353973187
BaseRepresentation
bin10010000110010…
…11100011001000
3101120200200210110
421003023203020
5302332004210
623022114320
73522344133
oct1103134310
9346620713
10151828680
1178781153
1242a1b9a0
13255bc373
141624321a
15d4e1420
hex90cb8c8

151828680 has 64 divisors (see below), whose sum is σ = 456776640. Its totient is φ = 40372992.

The previous prime is 151828673. The next prime is 151828687. The reversal of 151828680 is 86828151.

It is an interprime number because it is at equal distance from previous prime (151828673) and next prime (151828687).

It is not an unprimeable number, because it can be changed into a prime (151828687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46047 + ... + 49233.

It is an arithmetic number, because the mean of its divisors is an integer number (7137135).

Almost surely, 2151828680 is an apocalyptic number.

151828680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151828680 is an abundant number, since it is smaller than the sum of its proper divisors (304947960).

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

151828680 is a wasteful number, since it uses less digits than its factorization.

151828680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

The square root of 151828680 is about 12321.8781036009. The cubic root of 151828680 is about 533.4797497311.

The spelling of 151828680 in words is "one hundred fifty-one million, eight hundred twenty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 397 794 1191 1588 1985 2382 3176 3187 3970 4764 5955 6374 7940 9528 9561 11910 12748 15880 15935 19122 23820 25496 31870 38244 47640 47805 63740 76488 95610 127480 191220 382440 1265239 2530478 3795717 5060956 6326195 7591434 10121912 12652390 15182868 18978585 25304780 30365736 37957170 50609560 75914340 151828680