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150646146 = 237171012089
BaseRepresentation
bin10001111101010…
…10110110000010
3101111110121122220
420332222312002
5302031134041
622540511510
73506320410
oct1076526602
9344417586
10150646146
1178043752
124254b596
1325297041
14160162b0
15d35ad66
hex8faad82

150646146 has 64 divisors (see below), whose sum is σ = 368375040. Its totient is φ = 40089600.

The previous prime is 150646123. The next prime is 150646147. The reversal of 150646146 is 641646051.

It is a happy number.

150646146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1506461462 = 45388522609306632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (150646147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71070 + ... + 73158.

It is an arithmetic number, because the mean of its divisors is an integer number (5755860).

Almost surely, 2150646146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150646146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184187520).

150646146 is an abundant number, since it is smaller than the sum of its proper divisors (217728894).

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

150646146 is a wasteful number, since it uses less digits than its factorization.

150646146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 150646146 is about 12273.7991673320. The cubic root of 150646146 is about 532.0911168297.

The spelling of 150646146 in words is "one hundred fifty million, six hundred forty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 101 102 119 202 238 303 357 606 707 714 1414 1717 2089 2121 3434 4178 4242 5151 6267 10302 12019 12534 14623 24038 29246 35513 36057 43869 71026 72114 87738 106539 210989 213078 248591 421978 497182 632967 745773 1265934 1476923 1491546 2953846 3586813 4430769 7173626 8861538 10760439 21520878 25107691 50215382 75323073 150646146