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20377044 = 223219313
BaseRepresentation
bin100110110111…
…0110111010100
31102100021001100
41031232313110
520204031134
62004430100
7335126202
oct115566724
942307040
1020377044
1110558636
1269a8330
1342b5c2c
1429c6072
151bc7999
hex136edd4

20377044 has 72 divisors (see below), whose sum is σ = 56026880. Its totient is φ = 6227280.

The previous prime is 20377043. The next prime is 20377087. The reversal of 20377044 is 44077302.

It is a junction number, because it is equal to n+sod(n) for n = 20376999 and 20377017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20377043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 657309 + ... + 657339.

Almost surely, 220377044 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 20377044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28013440).

20377044 is an abundant number, since it is smaller than the sum of its proper divisors (35649836).

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

20377044 is a wasteful number, since it uses less digits than its factorization.

20377044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 20377044 is about 4514.0939290183. The cubic root of 20377044 is about 273.1369115622.

The spelling of 20377044 in words is "twenty million, three hundred seventy-seven thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 279 342 372 558 589 684 961 1116 1178 1767 1922 2356 2883 3534 3844 5301 5766 7068 8649 10602 11532 17298 18259 21204 29791 34596 36518 54777 59582 73036 89373 109554 119164 164331 178746 219108 268119 328662 357492 536238 566029 657324 1072476 1132058 1698087 2264116 3396174 5094261 6792348 10188522 20377044