Search a number
-
+
123240440 = 23523971381
BaseRepresentation
bin1110101100001…
…11111111111000
322120220021002202
413112013333320
5223022143230
620121245332
73024345401
oct726077770
9276807082
10123240440
1163625404
1235333848
131c6bcb4b
14125209a8
15ac45a45
hex7587ff8

123240440 has 64 divisors (see below), whose sum is σ = 292541760. Its totient is φ = 46632960.

The previous prime is 123240437. The next prime is 123240449. The reversal of 123240440 is 44042321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123240449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88550 + ... + 89930.

It is an arithmetic number, because the mean of its divisors is an integer number (4570965).

Almost surely, 2123240440 is an apocalyptic number.

123240440 is a gapful number since it is divisible by the number (10) 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 123240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146270880).

123240440 is an abundant number, since it is smaller than the sum of its proper divisors (169301320).

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

123240440 is a wasteful number, since it uses less digits than its factorization.

123240440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 123240440 is about 11101.3710864920. The cubic root of 123240440 is about 497.6428249140.

Adding to 123240440 its reverse (44042321), we get a palindrome (167282761).

The spelling of 123240440 in words is "one hundred twenty-three million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 97 115 184 194 230 388 460 485 776 920 970 1381 1940 2231 2762 3880 4462 5524 6905 8924 11048 11155 13810 17848 22310 27620 31763 44620 55240 63526 89240 127052 133957 158815 254104 267914 317630 535828 635260 669785 1071656 1270520 1339570 2679140 3081011 5358280 6162022 12324044 15405055 24648088 30810110 61620220 123240440