Search a number
-
+
123473920 = 21256029
BaseRepresentation
bin1110101110000…
…01000000000000
322121100010101011
413113001000000
5223102131140
620130250304
73026340163
oct727010000
9277303334
10123473920
1163774869
1235426994
131c7721bb
1412581ada
15ac8ecea
hex75c1000

123473920 has 52 divisors (see below), whose sum is σ = 296350380. Its totient is φ = 49381376.

The previous prime is 123473897. The next prime is 123473927. The reversal of 123473920 is 29374321.

It can be written as a sum of positive squares in 2 ways, for example, as 84934656 + 38539264 = 9216^2 + 6208^2 .

It is not an unprimeable number, because it can be changed into a prime (123473927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17466 + ... + 23494.

Almost surely, 2123473920 is an apocalyptic number.

123473920 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 123473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148175190).

123473920 is an abundant number, since it is smaller than the sum of its proper divisors (172876460).

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

123473920 is an frugal number, since it uses more digits than its factorization.

123473920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6058 (or 6036 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 123473920 is about 11111.8819288184. The cubic root of 123473920 is about 497.9568894365.

The spelling of 123473920 in words is "one hundred twenty-three million, four hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 6029 10240 12058 20480 24116 30145 48232 60290 96464 120580 192928 241160 385856 482320 771712 964640 1543424 1929280 3086848 3858560 6173696 7717120 12347392 15434240 24694784 30868480 61736960 123473920