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2461480 = 235759149
BaseRepresentation
bin1001011000111100101000
311122001111221
421120330220
51112231410
6124431424
726631220
oct11307450
94561457
102461480
11143138a
129a8574
136824c8
14481080
153394da
hex258f28

2461480 has 64 divisors (see below), whose sum is σ = 6480000. Its totient is φ = 824064.

The previous prime is 2461477. The next prime is 2461489. The reversal of 2461480 is 841642.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2461489) 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, 16446 + ... + 16594.

It is an arithmetic number, because the mean of its divisors is an integer number (101250).

22461480 is an apocalyptic number.

2461480 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 2461480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240000).

2461480 is an abundant number, since it is smaller than the sum of its proper divisors (4018520).

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

2461480 is a wasteful number, since it uses less digits than its factorization.

2461480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2461480 is about 1568.9104499620. The cubic root of 2461480 is about 135.0202073089.

It can be divided in two parts, 24614 and 80, that multiplied together give a triangular number (1969120 = T1984).

The spelling of 2461480 in words is "two million, four hundred sixty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 59 70 118 140 149 236 280 295 298 413 472 590 596 745 826 1043 1180 1192 1490 1652 2065 2086 2360 2980 3304 4130 4172 5215 5960 8260 8344 8791 10430 16520 17582 20860 35164 41720 43955 61537 70328 87910 123074 175820 246148 307685 351640 492296 615370 1230740 2461480