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152256104 = 237111319013
BaseRepresentation
bin10010001001100…
…11111001101000
3101121111102002222
421010303321220
5302434143404
623035213212
73526104230
oct1104637150
9347442088
10152256104
1178a432a0
1242ba7208
132570ba90
1416314cc0
15d577dbe
hex9133e68

152256104 has 64 divisors (see below), whose sum is σ = 383322240. Its totient is φ = 54754560.

The previous prime is 152256103. The next prime is 152256107. The reversal of 152256104 is 401652251.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (152256103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1499 + ... + 17514.

It is an arithmetic number, because the mean of its divisors is an integer number (5989410).

Almost surely, 2152256104 is an apocalyptic number.

152256104 is a gapful number since it is divisible by the number (14) 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 152256104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191661120).

152256104 is an abundant number, since it is smaller than the sum of its proper divisors (231066136).

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

152256104 is a wasteful number, since it uses less digits than its factorization.

152256104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19050 (or 19046 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 152256104 is about 12339.2100233362. The cubic root of 152256104 is about 533.9798932892.

The spelling of 152256104 in words is "one hundred fifty-two million, two hundred fifty-six thousand, one hundred four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 8008 19013 38026 76052 133091 152104 209143 247169 266182 418286 494338 532364 836572 988676 1064728 1464001 1673144 1730183 1977352 2718859 2928002 3460366 5437718 5856004 6920732 10875436 11712008 13841464 19032013 21750872 38064026 76128052 152256104