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5376133400 = 2352115414517
BaseRepresentation
bin1010000000111000…
…10100100100011000
3111212200010212120212
411000130110210120
542002242232100
62245245110252
7250140244211
oct50034244430
914780125525
105376133400
112309761660
121060558388
13678a64b31
14390012408
15216ea3635
hex140714918

5376133400 has 96 divisors (see below), whose sum is σ = 13664058480. Its totient is φ = 1950912000.

The previous prime is 5376133381. The next prime is 5376133417. The reversal of 5376133400 is 43316735.

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 23 ways as a sum of consecutive naturals, for example, 1187942 + ... + 1192458.

Almost surely, 25376133400 is an apocalyptic number.

5376133400 is a gapful number since it is divisible by the number (50) 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 5376133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6832029240).

5376133400 is an abundant number, since it is smaller than the sum of its proper divisors (8287925080).

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

5376133400 is a wasteful number, since it uses less digits than its factorization.

5376133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 32.

The square root of 5376133400 is about 73322.1208094801. The cubic root of 5376133400 is about 1751.8221456134.

The spelling of 5376133400 in words is "five billion, three hundred seventy-six million, one hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 541 550 1082 1100 2164 2200 2705 4328 4517 5410 5951 9034 10820 11902 13525 18068 21640 22585 23804 27050 29755 36136 45170 47608 49687 54100 59510 90340 99374 108200 112925 119020 148775 180680 198748 225850 238040 248435 297550 397496 451700 496870 595100 903400 993740 1190200 1242175 1987480 2443697 2484350 4887394 4968700 9774788 9937400 12218485 19549576 24436970 26880667 48873940 53761334 61092425 97747880 107522668 122184850 134403335 215045336 244369700 268806670 488739400 537613340 672016675 1075226680 1344033350 2688066700 5376133400