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1025020152 = 233213284239
BaseRepresentation
bin111101000110001…
…001000011111000
32122102202102022100
4331012021003320
54044401121102
6245413423400
734254345642
oct7506110370
92572672270
101025020152
114866628a2
1224733ab60
1313448a600
149a1c1892
155eec4a1c
hex3d1890f8

1025020152 has 72 divisors (see below), whose sum is σ = 3006104400. Its totient is φ = 315387072.

The previous prime is 1025020141. The next prime is 1025020153. The reversal of 1025020152 is 2510205201.

1025020152 is a `hidden beast` number, since 10 + 2 + 502 + 0 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10250201522 = 2101332624012206208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025020153) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29952 + ... + 54287.

It is an arithmetic number, because the mean of its divisors is an integer number (41751450).

Almost surely, 21025020152 is an apocalyptic number.

1025020152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1025020152 is an abundant number, since it is smaller than the sum of its proper divisors (1981084248).

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

1025020152 is a wasteful number, since it uses less digits than its factorization.

1025020152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84277 (or 84257 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1025020152 is about 32015.9359069823. The cubic root of 1025020152 is about 1008.2714452253.

Adding to 1025020152 its reverse (2510205201), we get a palindrome (3535225353).

The spelling of 1025020152 in words is "one billion, twenty-five million, twenty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 84239 168478 252717 336956 505434 673912 758151 1010868 1095107 1516302 2021736 2190214 3032604 3285321 4380428 6065208 6570642 8760856 9855963 13141284 14236391 19711926 26282568 28472782 39423852 42709173 56945564 78847704 85418346 113891128 128127519 170836692 256255038 341673384 512510076 1025020152