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20119296 = 283172367
BaseRepresentation
bin100110010111…
…1111100000000
31101212011111010
41030233330000
520122304141
61555120520
7333003561
oct114577400
941764433
1020119296
11103a1a1a
1268a3140
134225812
14295a168
151b76416
hex132ff00

20119296 has 144 divisors (see below), whose sum is σ = 60044544. Its totient is φ = 5947392.

The previous prime is 20119291. The next prime is 20119303. The reversal of 20119296 is 69291102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20119291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300255 + ... + 300321.

It is an arithmetic number, because the mean of its divisors is an integer number (416976).

Almost surely, 220119296 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 20119296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30022272).

20119296 is an abundant number, since it is smaller than the sum of its proper divisors (39925248).

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

20119296 is a wasteful number, since it uses less digits than its factorization.

20119296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 20119296 is about 4485.4538231934. The cubic root of 20119296 is about 271.9803907432.

It can be divided in two parts, 20 and 119296, that added together give a triangular number (119316 = T488).

The spelling of 20119296 in words is "twenty million, one hundred nineteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 67 68 69 92 96 102 128 134 136 138 184 192 201 204 256 268 272 276 368 384 391 402 408 536 544 552 736 768 782 804 816 1072 1088 1104 1139 1173 1472 1541 1564 1608 1632 2144 2176 2208 2278 2346 2944 3082 3128 3216 3264 3417 4288 4352 4416 4556 4623 4692 5888 6164 6256 6432 6528 6834 8576 8832 9112 9246 9384 12328 12512 12864 13056 13668 17152 17664 18224 18492 18768 24656 25024 25728 26197 27336 36448 36984 37536 49312 50048 51456 52394 54672 72896 73968 75072 78591 98624 100096 104788 109344 145792 147936 150144 157182 197248 209576 218688 291584 295872 300288 314364 394496 419152 437376 591744 628728 838304 874752 1183488 1257456 1676608 2514912 3353216 5029824 6706432 10059648 20119296