Search a number
-
+
2480946120 = 23325311311697
BaseRepresentation
bin1001001111100000…
…0011101111001000
320101220100010021100
42103320003233020
520040110233440
61050103141400
7115323460032
oct22370035710
96356303240
102480946120
11106347a5a4
12592a44860
13306cba873
141976d0c52
15e7c15230
hex93e03bc8

2480946120 has 192 divisors, whose sum is σ = 8391651840. Its totient is φ = 634982400.

The previous prime is 2480946049. The next prime is 2480946133. The reversal of 2480946120 is 216490842.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1461112 + ... + 1462808.

It is an arithmetic number, because the mean of its divisors is an integer number (43706520).

Almost surely, 22480946120 is an apocalyptic number.

2480946120 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 2480946120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4195825920).

2480946120 is an abundant number, since it is smaller than the sum of its proper divisors (5910705720).

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

2480946120 is a wasteful number, since it uses less digits than its factorization.

2480946120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2480946120 is about 49809.0967595278. The cubic root of 2480946120 is about 1353.7519987795.

The spelling of 2480946120 in words is "two billion, four hundred eighty million, nine hundred forty-six thousand, one hundred twenty".