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2025072 = 24327341
BaseRepresentation
bin111101110011001110000
310210212212200
413232121300
51004300242
6111223200
723133000
oct7563160
93725780
102025072
111163515
12817b00
1355b98a
143aa000
152a004c
hex1ee670

2025072 has 120 divisors (see below), whose sum is σ = 6770400. Its totient is φ = 564480.

The previous prime is 2025053. The next prime is 2025103. The reversal of 2025072 is 2705202.

It is a happy number.

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

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, 49372 + ... + 49412.

It is an arithmetic number, because the mean of its divisors is an integer number (56420).

22025072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2025072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385200).

2025072 is an abundant number, since it is smaller than the sum of its proper divisors (4745328).

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

2025072 is a wasteful number, since it uses less digits than its factorization.

2025072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2025072 is about 1423.0502450722. The cubic root of 2025072 is about 126.5163992133.

The spelling of 2025072 in words is "two million, twenty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 41 42 48 49 56 63 72 82 84 98 112 123 126 144 147 164 168 196 246 252 287 294 328 336 343 369 392 441 492 504 574 588 656 686 738 784 861 882 984 1008 1029 1148 1176 1372 1476 1722 1764 1968 2009 2058 2296 2352 2583 2744 2952 3087 3444 3528 4018 4116 4592 5166 5488 5904 6027 6174 6888 7056 8036 8232 10332 12054 12348 13776 14063 16072 16464 18081 20664 24108 24696 28126 32144 36162 41328 42189 48216 49392 56252 72324 84378 96432 112504 126567 144648 168756 225008 253134 289296 337512 506268 675024 1012536 2025072