Search a number
-
+
231707040 = 25352412003
BaseRepresentation
bin11011100111110…
…01000110100000
3121010222221022020
431303321012200
5433304111130
634554141440
75512322505
oct1563710640
9533887266
10231707040
11109879a24
1265721880
1339009276
1422ab74ac
151551de10
hexdcf91a0

231707040 has 96 divisors (see below), whose sum is σ = 733271616. Its totient is φ = 61501440.

The previous prime is 231707027. The next prime is 231707053. The reversal of 231707040 is 40707132.

231707040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231707027) and next prime (231707053).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 231707040.

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, 114679 + ... + 116681.

It is an arithmetic number, because the mean of its divisors is an integer number (7638246).

Almost surely, 2231707040 is an apocalyptic number.

231707040 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 231707040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366635808).

231707040 is an abundant number, since it is smaller than the sum of its proper divisors (501564576).

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

231707040 is a wasteful number, since it uses less digits than its factorization.

231707040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 231707040 is about 15221.9262907163. The cubic root of 231707040 is about 614.2046165571.

The spelling of 231707040 in words is "two hundred thirty-one million, seven hundred seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 241 480 482 723 964 1205 1446 1928 2003 2410 2892 3615 3856 4006 4820 5784 6009 7230 7712 8012 9640 10015 11568 12018 14460 16024 19280 20030 23136 24036 28920 30045 32048 38560 40060 48072 57840 60090 64096 80120 96144 115680 120180 160240 192288 240360 320480 480720 482723 961440 965446 1448169 1930892 2413615 2896338 3861784 4827230 5792676 7240845 7723568 9654460 11585352 14481690 15447136 19308920 23170704 28963380 38617840 46341408 57926760 77235680 115853520 231707040