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20077044 = 22313414373
BaseRepresentation
bin100110010010…
…1100111110100
31101210000112020
41030211213310
520114431134
61554153140
7332436441
oct114454764
941700466
1020077044
11103731a9
1268827b0
13420c510
1429489c8
151b68b49
hex13259f4

20077044 has 96 divisors (see below), whose sum is σ = 53606784. Its totient is φ = 5806080.

The previous prime is 20077033. The next prime is 20077067. The reversal of 20077044 is 44077002.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 274992 + ... + 275064.

It is an arithmetic number, because the mean of its divisors is an integer number (558404).

Almost surely, 220077044 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 20077044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26803392).

20077044 is an abundant number, since it is smaller than the sum of its proper divisors (33529740).

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

20077044 is a wasteful number, since it uses less digits than its factorization.

20077044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 20077044 is about 4480.7414565003. The cubic root of 20077044 is about 271.7898643724.

The spelling of 20077044 in words is "twenty million, seventy-seven thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 41 43 52 73 78 82 86 123 129 146 156 164 172 219 246 258 292 438 492 516 533 559 876 949 1066 1118 1599 1677 1763 1898 2132 2236 2847 2993 3139 3198 3354 3526 3796 5289 5694 5986 6278 6396 6708 7052 8979 9417 10578 11388 11972 12556 17958 18834 21156 22919 35916 37668 38909 40807 45838 68757 77818 81614 91676 116727 122421 128699 137514 155636 163228 233454 244842 257398 275028 386097 466908 489684 514796 772194 1544388 1673087 3346174 5019261 6692348 10038522 20077044