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152157006 = 23223467787
BaseRepresentation
bin10010001000110…
…11101101001110
3101121022101011200
421010123231032
5302423011011
623033130330
73525212301
oct1104335516
9347271150
10152157006
11789858a1
1242b599a6
13256a5941
14162cab38
15d558856
hex911bb4e

152157006 has 48 divisors (see below), whose sum is σ = 345181824. Its totient is φ = 48348432.

The previous prime is 152156993. The next prime is 152157017. The reversal of 152157006 is 600751251.

152157006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192945 + ... + 193731.

It is an arithmetic number, because the mean of its divisors is an integer number (7191288).

Almost surely, 2152157006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152157006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172590912).

152157006 is an abundant number, since it is smaller than the sum of its proper divisors (193024818).

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

152157006 is a wasteful number, since it uses less digits than its factorization.

152157006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 152157006 is about 12335.1937966130. The cubic root of 152157006 is about 533.8640187360.

The spelling of 152157006 in words is "one hundred fifty-two million, one hundred fifty-seven thousand, six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 467 787 934 1401 1574 2361 2802 4203 4722 7083 8406 10741 14166 18101 21482 32223 36202 54303 64446 96669 108606 162909 193338 325818 367529 735058 1102587 2205174 3307761 6615522 8453167 16906334 25359501 50719002 76078503 152157006