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5400185100 = 22352433831093
BaseRepresentation
bin1010000011110000…
…00100100100001100
3111221100101211022120
411001320010210030
542024421410400
62251504412540
7250551546612
oct50170044414
914840354276
105400185100
112321299aa2
121068617150
13680a364cb
143932b36b2
15219154ca0
hex141e0490c

5400185100 has 144 divisors (see below), whose sum is σ = 16044306432. Its totient is φ = 1401603840.

The previous prime is 5400185069. The next prime is 5400185101. The reversal of 5400185100 is 15810045.

It is a super-2 number, since 2×54001851002 = 58323998228524020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5400185101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4940154 + ... + 4941246.

Almost surely, 25400185100 is an apocalyptic number.

5400185100 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 5400185100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8022153216).

5400185100 is an abundant number, since it is smaller than the sum of its proper divisors (10644121332).

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

5400185100 is a wasteful number, since it uses less digits than its factorization.

5400185100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 5400185100 is about 73485.9517186789. The cubic root of 5400185100 is about 1754.4306884647.

Adding to 5400185100 its reverse (15810045), we get a palindrome (5415995145).

The spelling of 5400185100 in words is "five billion, four hundred million, one hundred eighty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 383 430 516 645 766 860 1075 1093 1149 1290 1532 1915 2150 2186 2298 2580 3225 3279 3830 4300 4372 4596 5465 5745 6450 6558 7660 9575 10930 11490 12900 13116 16395 16469 19150 21860 22980 27325 28725 32790 32938 38300 46999 49407 54650 57450 65580 65876 81975 82345 93998 98814 109300 114900 140997 163950 164690 187996 197628 234995 247035 281994 327900 329380 411725 418619 469990 494070 563988 704985 823450 837238 939980 988140 1174975 1235175 1255857 1409970 1646900 1674476 2093095 2349950 2470350 2511714 2819940 3524925 4186190 4699900 4940700 5023428 6279285 7049850 8372380 10465475 12558570 14099700 18000617 20930950 25117140 31396425 36001234 41861900 54001851 62792850 72002468 90003085 108003702 125585700 180006170 216007404 270009255 360012340 450015425 540018510 900030850 1080037020 1350046275 1800061700 2700092550 5400185100