Search a number
-
+
1721382912 = 21132611531
BaseRepresentation
bin110011010011010…
…0011100000000000
311102222002022102200
41212212203200000
512011133223122
6442451113200
760441341034
oct14646434000
94388068380
101721382912
11803748507
124005a2800
13215825292
141248901c4
15a11c95ac
hex669a3800

1721382912 has 144 divisors (see below), whose sum is σ = 5056473240. Its totient is φ = 564019200.

The previous prime is 1721382863. The next prime is 1721382959. The reversal of 1721382912 is 2192831271.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 1123587 + ... + 1125117.

Almost surely, 21721382912 is an apocalyptic number.

1721382912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1721382912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528236620).

1721382912 is an abundant number, since it is smaller than the sum of its proper divisors (3335090328).

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

1721382912 is a wasteful number, since it uses less digits than its factorization.

1721382912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1597 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 1721382912 is about 41489.5518413974. The cubic root of 1721382912 is about 1198.4663073241.

The spelling of 1721382912 in words is "one billion, seven hundred twenty-one million, three hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 256 288 366 384 488 512 549 576 732 768 976 1024 1098 1152 1464 1531 1536 1952 2048 2196 2304 2928 3062 3072 3904 4392 4593 4608 5856 6124 6144 7808 8784 9186 9216 11712 12248 13779 15616 17568 18372 18432 23424 24496 27558 31232 35136 36744 46848 48992 55116 62464 70272 73488 93391 93696 97984 110232 124928 140544 146976 186782 187392 195968 220464 280173 281088 293952 373564 374784 391936 440928 560346 562176 587904 747128 783872 840519 881856 1120692 1124352 1175808 1494256 1567744 1681038 1763712 2241384 2351616 2988512 3135488 3362076 3527424 4482768 4703232 5977024 6724152 7054848 8965536 9406464 11954048 13448304 14109696 17931072 23908096 26896608 28219392 35862144 47816192 53793216 71724288 95632384 107586432 143448576 191264768 215172864 286897152 430345728 573794304 860691456 1721382912