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25423740 = 2233523289
BaseRepresentation
bin110000011111…
…0111101111100
31202211122211000
41200332331330
523002024430
62304530300
7426045456
oct140767574
952748730
1025423740
1113395261
128620990
135362044
14353b2d6
152372e60
hex183ef7c

25423740 has 144 divisors (see below), whose sum is σ = 83613600. Its totient is φ = 6412032.

The previous prime is 25423733. The next prime is 25423747. The reversal of 25423740 is 4732452.

It is an interprime number because it is at equal distance from previous prime (25423733) and next prime (25423747).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25423747) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285616 + ... + 285704.

It is an arithmetic number, because the mean of its divisors is an integer number (580650).

Almost surely, 225423740 is an apocalyptic number.

25423740 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 25423740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41806800).

25423740 is an abundant number, since it is smaller than the sum of its proper divisors (58189860).

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

25423740 is a wasteful number, since it uses less digits than its factorization.

25423740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 25423740 is about 5042.1959501789. The cubic root of 25423740 is about 294.0445580112.

The spelling of 25423740 in words is "twenty-five million, four hundred twenty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 89 90 92 108 115 135 138 178 180 207 230 267 270 276 345 356 414 445 460 529 534 540 621 690 801 828 890 1035 1058 1068 1242 1335 1380 1587 1602 1780 2047 2070 2116 2403 2484 2645 2670 3105 3174 3204 4005 4094 4140 4761 4806 5290 5340 6141 6210 6348 7935 8010 8188 9522 9612 10235 10580 12015 12282 12420 14283 15870 16020 18423 19044 20470 23805 24030 24564 28566 30705 31740 36846 40940 47081 47610 48060 55269 57132 61410 71415 73692 92115 94162 95220 110538 122820 141243 142830 184230 188324 221076 235405 276345 282486 285660 368460 423729 470810 552690 564972 706215 847458 941620 1105380 1271187 1412430 1694916 2118645 2542374 2824860 4237290 5084748 6355935 8474580 12711870 25423740