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240896820 = 223519211313
BaseRepresentation
bin11100101101111…
…00101100110100
3121210021211022110
432112330230310
5443132144240
635523131020
75653406043
oct1626745464
9553254273
10240896820
11113a8638a
1268813a70
133aba60c8
1423dca55a
1516236c80
hexe5bcb34

240896820 has 48 divisors (see below), whose sum is σ = 710015040. Its totient is φ = 60857856.

The previous prime is 240896807. The next prime is 240896857. The reversal of 240896820 is 28698042.

It is a super-2 number, since 2×2408968202 = 116062555772224800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104517 + ... + 106796.

It is an arithmetic number, because the mean of its divisors is an integer number (14791980).

Almost surely, 2240896820 is an apocalyptic number.

240896820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240896820 is an abundant number, since it is smaller than the sum of its proper divisors (469118220).

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

240896820 is a wasteful number, since it uses less digits than its factorization.

240896820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211344 (or 211342 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 240896820 is about 15520.8511364551. The cubic root of 240896820 is about 622.2196024313.

The spelling of 240896820 in words is "two hundred forty million, eight hundred ninety-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 211313 422626 633939 845252 1056565 1267878 2113130 2535756 3169695 4014947 4226260 6339390 8029894 12044841 12678780 16059788 20074735 24089682 40149470 48179364 60224205 80298940 120448410 240896820