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2625140 = 2257171103
BaseRepresentation
bin1010000000111001110100
311221101000102
422000321310
51133001030
6132133232
731212320
oct12007164
94841012
102625140
111533341
12a67218
1370bb4b
144c4980
1536cc45
hex280e74

2625140 has 48 divisors (see below), whose sum is σ = 6676992. Its totient is φ = 846336.

The previous prime is 2625137. The next prime is 2625149. The reversal of 2625140 is 415262.

2625140 = T86 + T87 + ... + T253.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2625149) 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, 1829 + ... + 2931.

It is an arithmetic number, because the mean of its divisors is an integer number (139104).

22625140 is an apocalyptic number.

2625140 is a gapful number since it is divisible by the number (20) 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 2625140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338496).

2625140 is an abundant number, since it is smaller than the sum of its proper divisors (4051852).

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

2625140 is a wasteful number, since it uses less digits than its factorization.

2625140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2625140 is about 1620.2283789639. The cubic root of 2625140 is about 137.9486611525.

The spelling of 2625140 in words is "two million, six hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1103 1190 2206 2380 4412 5515 7721 11030 15442 18751 22060 30884 37502 38605 75004 77210 93755 131257 154420 187510 262514 375020 525028 656285 1312570 2625140