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1056433400 = 2352114331109
BaseRepresentation
bin111110111101111…
…110010011111000
32201121212101011222
4332331332103320
54130421332100
6252455011212
735115351521
oct7675762370
92647771158
101056433400
114a2369060
12255969b08
1313ab38929
14a043b848
1562b2c485
hex3ef7e4f8

1056433400 has 96 divisors (see below), whose sum is σ = 2688109200. Its totient is φ = 382924800.

The previous prime is 1056433369. The next prime is 1056433423. The reversal of 1056433400 is 43346501.

It is a super-2 number, since 2×10564334002 = 2232103057271120000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1056433400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 952046 + ... + 953154.

Almost surely, 21056433400 is an apocalyptic number.

1056433400 is a gapful number since it is divisible by the number (10) 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 1056433400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344054600).

1056433400 is an abundant number, since it is smaller than the sum of its proper divisors (1631675800).

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

1056433400 is a wasteful number, since it uses less digits than its factorization.

1056433400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 1056433400 is about 32502.8214159940. The cubic root of 1056433400 is about 1018.4679678974.

Adding to 1056433400 its reverse (43346501), we get a palindrome (1099779901).

The spelling of 1056433400 in words is "one billion, fifty-six million, four hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 433 440 550 866 1100 1109 1732 2165 2200 2218 3464 4330 4436 4763 5545 8660 8872 9526 10825 11090 12199 17320 19052 21650 22180 23815 24398 27725 38104 43300 44360 47630 48796 55450 60995 86600 95260 97592 110900 119075 121990 190520 221800 238150 243980 304975 476300 480197 487960 609950 952600 960394 1219900 1920788 2400985 2439800 3841576 4801970 5282167 9603940 10564334 12004925 19207880 21128668 24009850 26410835 42257336 48019700 52821670 96039400 105643340 132054175 211286680 264108350 528216700 1056433400