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245487960 = 233251076373
BaseRepresentation
bin11101010000111…
…01100101011000
3122002221002011200
432220131211120
51000321103320
640205354200
76040420224
oct1650354530
9562832150
10245487960
11116631813
126a268960
133bb22a63
1424863784
1516842290
hexea1d958

245487960 has 96 divisors (see below), whose sum is σ = 805418640. Its totient is φ = 64841472.

The previous prime is 245487959. The next prime is 245488057. The reversal of 245487960 is 69784542.

It is a happy number.

245487960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 35334 + ... + 41706.

Almost surely, 2245487960 is an apocalyptic number.

245487960 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 245487960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402709320).

245487960 is an abundant number, since it is smaller than the sum of its proper divisors (559930680).

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

245487960 is a wasteful number, since it uses less digits than its factorization.

245487960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6497 (or 6490 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 245487960 is about 15668.0553994425. The cubic root of 245487960 is about 626.1476173360.

The spelling of 245487960 in words is "two hundred forty-five million, four hundred eighty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 107 120 180 214 321 360 428 535 642 856 963 1070 1284 1605 1926 2140 2568 3210 3852 4280 4815 6373 6420 7704 9630 12746 12840 19119 19260 25492 31865 38238 38520 50984 57357 63730 76476 95595 114714 127460 152952 191190 229428 254920 286785 382380 458856 573570 681911 764760 1147140 1363822 2045733 2294280 2727644 3409555 4091466 5455288 6137199 6819110 8182932 10228665 12274398 13638220 16365864 20457330 24548796 27276440 30685995 40914660 49097592 61371990 81829320 122743980 245487960