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151204120 = 23517229971
BaseRepresentation
bin10010000001100…
…11000100011000
3101112111222001121
421000303010120
5302202012440
623000455024
73514133224
oct1100630430
9345458047
10151204120
1178394991
124277a474
1325430cc2
141611d784
15d41b34a
hex9033118

151204120 has 64 divisors (see below), whose sum is σ = 362167200. Its totient is φ = 56616960.

The previous prime is 151204117. The next prime is 151204121. The reversal of 151204120 is 21402151.

It is a junction number, because it is equal to n+sod(n) for n = 151204094 and 151204103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151204121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155235 + ... + 156205.

Almost surely, 2151204120 is an apocalyptic number.

151204120 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 151204120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181083600).

151204120 is an abundant number, since it is smaller than the sum of its proper divisors (210963080).

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

151204120 is a wasteful number, since it uses less digits than its factorization.

151204120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 151204120 is about 12296.5084475228. The cubic root of 151204120 is about 532.7472398435.

Adding to 151204120 its reverse (21402151), we get a palindrome (172606271).

The spelling of 151204120 in words is "one hundred fifty-one million, two hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 229 340 458 680 916 971 1145 1832 1942 2290 3884 3893 4580 4855 7768 7786 9160 9710 15572 16507 19420 19465 31144 33014 38840 38930 66028 77860 82535 132056 155720 165070 222359 330140 444718 660280 889436 1111795 1778872 2223590 3780103 4447180 7560206 8894360 15120412 18900515 30240824 37801030 75602060 151204120