Search a number
-
+
151929700 = 225213196151
BaseRepresentation
bin10010000111001…
…00001101100100
3101120212211100221
421003210031210
5302343222300
623024214124
73523244506
oct1103441544
9346784327
10151929700
117884003a
1242a6a344
1325626340
141626bd76
15d51131a
hex90e4364

151929700 has 72 divisors (see below), whose sum is σ = 373795520. Its totient is φ = 53136000.

The previous prime is 151929691. The next prime is 151929703. The reversal of 151929700 is 7929151.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (151929703) 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 23 ways as a sum of consecutive naturals, for example, 21625 + ... + 27775.

Almost surely, 2151929700 is an apocalyptic number.

151929700 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 151929700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186897760).

151929700 is an abundant number, since it is smaller than the sum of its proper divisors (221865820).

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

151929700 is a wasteful number, since it uses less digits than its factorization.

151929700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6197 (or 6190 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 34.

The square root of 151929700 is about 12325.9766347337. The cubic root of 151929700 is about 533.5980413395.

The spelling of 151929700 in words is "one hundred fifty-one million, nine hundred twenty-nine thousand, seven hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 247 260 325 380 475 494 650 950 988 1235 1300 1900 2470 4940 6151 6175 12302 12350 24604 24700 30755 61510 79963 116869 123020 153775 159926 233738 307550 319852 399815 467476 584345 615100 799630 1168690 1519297 1599260 1999075 2337380 2921725 3038594 3998150 5843450 6077188 7596485 7996300 11686900 15192970 30385940 37982425 75964850 151929700