Search a number
-
+
2148607032 = 2331113626051
BaseRepresentation
bin1000000000010001…
…0010010000111000
312112201222112202020
42000010102100320
513400020411112
6553112034440
7104146600305
oct20004222070
95481875666
102148607032
11a029182a0
124bb692a20
132831a9210
141655000ac
15c896948c
hex80112438

2148607032 has 64 divisors (see below), whose sum is σ = 6310604160. Its totient is φ = 601008000.

The previous prime is 2148606917. The next prime is 2148607049. The reversal of 2148607032 is 2307068412.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2148606984 and 2148607002.

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, 309594 + ... + 316457.

It is an arithmetic number, because the mean of its divisors is an integer number (98603190).

Almost surely, 22148607032 is an apocalyptic number.

2148607032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2148607032 is an abundant number, since it is smaller than the sum of its proper divisors (4161997128).

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

2148607032 is a wasteful number, since it uses less digits than its factorization.

2148607032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626084 (or 626080 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2148607032 is about 46353.0692834897. The cubic root of 2148607032 is about 1290.3840836969.

The spelling of 2148607032 in words is "two billion, one hundred forty-eight million, six hundred seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 626051 1252102 1878153 2504204 3756306 5008408 6886561 7512612 8138663 13773122 15025224 16277326 20659683 24415989 27546244 32554652 41319366 48831978 55092488 65109304 82638732 89525293 97663956 165277464 179050586 195327912 268575879 358101172 537151758 716202344 1074303516 2148607032