Search a number
-
+
31738420 = 22573171103
BaseRepresentation
bin111100100010…
…0101000110100
32012201110221001
41321010220310
531111112140
63052133044
7533525560
oct171045064
965643831
1031738420
1116a085aa
12a767184
13676333c
1443026a0
152bbde9a
hex1e44a34

31738420 has 96 divisors (see below), whose sum is σ = 80510976. Its totient is φ = 10281600.

The previous prime is 31738411. The next prime is 31738433. The reversal of 31738420 is 2483713.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308089 + ... + 308191.

It is an arithmetic number, because the mean of its divisors is an integer number (838656).

Almost surely, 231738420 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 31738420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40255488).

31738420 is an abundant number, since it is smaller than the sum of its proper divisors (48772556).

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

31738420 is a wasteful number, since it uses less digits than its factorization.

31738420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 31738420 is about 5633.6861822434. The cubic root of 31738420 is about 316.6127750703.

The spelling of 31738420 in words is "thirty-one million, seven hundred thirty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 71 103 124 140 142 155 206 217 284 310 355 412 434 497 515 620 710 721 868 994 1030 1085 1420 1442 1988 2060 2170 2201 2485 2884 3193 3605 4340 4402 4970 6386 7210 7313 8804 9940 11005 12772 14420 14626 15407 15965 22010 22351 29252 30814 31930 36565 44020 44702 51191 61628 63860 73130 77035 89404 102382 111755 146260 154070 204764 223510 226703 255955 308140 447020 453406 511910 906812 1023820 1133515 1586921 2267030 3173842 4534060 6347684 7934605 15869210 31738420