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1461230936 = 231137835407
BaseRepresentation
bin101011100011000…
…1001110101011000
310202211120020000022
41113012021311120
510443033342221
6400555130012
751132154334
oct12706116530
93684506008
101461230936
1168a910480
12349443908
131a3969ab9
14dc0d07c4
158843c4ab
hex57189d58

1461230936 has 64 divisors (see below), whose sum is σ = 3107220480. Its totient is φ = 638340480.

The previous prime is 1461230923. The next prime is 1461230951. The reversal of 1461230936 is 6390321641.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1461230896 and 1461230905.

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, 267545 + ... + 272951.

It is an arithmetic number, because the mean of its divisors is an integer number (48550320).

Almost surely, 21461230936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1461230936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553610240).

1461230936 is an abundant number, since it is smaller than the sum of its proper divisors (1645989544).

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

1461230936 is a wasteful number, since it uses less digits than its factorization.

1461230936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5544 (or 5540 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 1461230936 is about 38226.0504891625. The cubic root of 1461230936 is about 1134.7659245469.

The spelling of 1461230936 in words is "one billion, four hundred sixty-one million, two hundred thirty thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 22 37 44 74 83 88 148 166 296 332 407 664 814 913 1628 1826 3071 3256 3652 5407 6142 7304 10814 12284 21628 24568 33781 43256 59477 67562 118954 135124 200059 237908 270248 400118 448781 475816 800236 897562 1600472 1795124 2200649 3590248 4401298 4936591 8802596 9873182 16604897 17605192 19746364 33209794 39492728 66419588 132839176 182653867 365307734 730615468 1461230936