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1068632500 = 225413131251
BaseRepresentation
bin111111101100100…
…000100110110100
32202110211011012111
4333230200212310
54142032220000
6254012300404
735324140435
oct7754404664
92673734174
101068632500
114a9240461
12259a71704
1314051a430
14a1cd548c
1563c3bcba
hex3fb209b4

1068632500 has 120 divisors (see below), whose sum is σ = 2545960032. Its totient is φ = 390000000.

The previous prime is 1068632497. The next prime is 1068632501. The reversal of 1068632500 is 52368601.

It is a super-2 number, since 2×10686325002 = 2283950840112500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068632501) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4257375 + ... + 4257625.

Almost surely, 21068632500 is an apocalyptic number.

1068632500 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 1068632500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272980016).

1068632500 is an abundant number, since it is smaller than the sum of its proper divisors (1477327532).

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

1068632500 is a wasteful number, since it uses less digits than its factorization.

1068632500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 1068632500 is about 32689.9449372433. The cubic root of 1068632500 is about 1022.3732065804.

The spelling of 1068632500 in words is "one billion, sixty-eight million, six hundred thirty-two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 131 250 251 260 262 325 500 502 524 625 650 655 1004 1250 1255 1300 1310 1625 1703 2500 2510 2620 3250 3263 3275 3406 5020 6275 6500 6526 6550 6812 8125 8515 12550 13052 13100 16250 16315 16375 17030 25100 31375 32500 32630 32750 32881 34060 42575 62750 65260 65500 65762 81575 81875 85150 125500 131524 156875 163150 163750 164405 170300 212875 313750 326300 327500 328810 407875 425750 427453 627500 657620 815750 822025 851500 854906 1064375 1631500 1644050 1709812 2039375 2128750 2137265 3288100 4078750 4110125 4257500 4274530 8157500 8220250 8549060 10686325 16440500 20550625 21372650 41101250 42745300 53431625 82202500 106863250 213726500 267158125 534316250 1068632500