Search a number
-
+
31077840 = 2435129491
BaseRepresentation
bin111011010001…
…1010111010000
32011110220210010
41312203113100
530423442330
63030034520
7525104643
oct166432720
964426703
1031077840
11165a7272
12a4a8a40
136591771
1441ada5a
152add3b0
hex1da35d0

31077840 has 40 divisors (see below), whose sum is σ = 96342048. Its totient is φ = 8287360.

The previous prime is 31077811. The next prime is 31077847. The reversal of 31077840 is 4877013.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 31077798 and 31077807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31077847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64506 + ... + 64985.

Almost surely, 231077840 is an apocalyptic number.

31077840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31077840 is an abundant number, since it is smaller than the sum of its proper divisors (65264208).

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

31077840 is a wasteful number, since it uses less digits than its factorization.

31077840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129507 (or 129501 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 31077840 is about 5574.7502186197. The cubic root of 31077840 is about 314.4007756587.

The spelling of 31077840 in words is "thirty-one million, seventy-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 129491 258982 388473 517964 647455 776946 1035928 1294910 1553892 1942365 2071856 2589820 3107784 3884730 5179640 6215568 7769460 10359280 15538920 31077840