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1900693368 = 2332712133109
BaseRepresentation
bin111000101001010…
…0100011101111000
311220110111020010200
41301102210131320
512343034141433
6512334242200
765046425040
oct16122443570
94813436120
101900693368
1189598a072
12450656360
13243a17342
14140608720
15b1ce8613
hex714a4778

1900693368 has 96 divisors (see below), whose sum is σ = 5889842400. Its totient is φ = 542433024.

The previous prime is 1900693363. The next prime is 1900693409. The reversal of 1900693368 is 8633960091.

It is a super-2 number, since 2×19006933682 = 7225270558318366848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1900693363) 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, 609798 + ... + 612906.

It is an arithmetic number, because the mean of its divisors is an integer number (61352525).

Almost surely, 21900693368 is an apocalyptic number.

1900693368 is a gapful number since it is divisible by the number (18) 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 1900693368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944921200).

1900693368 is an abundant number, since it is smaller than the sum of its proper divisors (3989149032).

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

1900693368 is a wasteful number, since it uses less digits than its factorization.

1900693368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4341 (or 4334 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1900693368 is about 43596.9421863506. The cubic root of 1900693368 is about 1238.7129743743.

The spelling of 1900693368 in words is "one billion, nine hundred million, six hundred ninety-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1213 2426 3109 3639 4852 6218 7278 8491 9327 9704 10917 12436 14556 16982 18654 21763 21834 24872 25473 27981 29112 33964 37308 43526 43668 50946 55962 65289 67928 74616 76419 87052 87336 101892 111924 130578 152838 174104 195867 203784 223848 261156 305676 391734 522312 611352 783468 1566936 3771217 7542434 11313651 15084868 22627302 26398519 30169736 33940953 45254604 52797038 67881906 79195557 90509208 105594076 135763812 158391114 211188152 237586671 271527624 316782228 475173342 633564456 950346684 1900693368