Search a number
-
+
1268132004 = 223331478059
BaseRepresentation
bin100101110010110…
…0010100010100100
310021101012210002000
41023211202202210
510044120211004
6325500245300
743265641566
oct11345424244
93241183060
101268132004
115a0911387
122b4840830
1317295a989
14c05c7336
15764e7c39
hex4b9628a4

1268132004 has 96 divisors (see below), whose sum is σ = 3466444800. Its totient is φ = 400321440.

The previous prime is 1268131999. The next prime is 1268132053. The reversal of 1268132004 is 4002318621.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153327 + ... + 161385.

It is an arithmetic number, because the mean of its divisors is an integer number (36108800).

Almost surely, 21268132004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1268132004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733222400).

1268132004 is an abundant number, since it is smaller than the sum of its proper divisors (2198312796).

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

1268132004 is a wasteful number, since it uses less digits than its factorization.

1268132004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8150 (or 8142 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1268132004 is about 35610.8411021138. The cubic root of 1268132004 is about 1082.4009240360.

The spelling of 1268132004 in words is "one billion, two hundred sixty-eight million, one hundred thirty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 47 54 62 93 94 108 124 141 186 188 279 282 372 423 558 564 837 846 1116 1269 1457 1674 1692 2538 2914 3348 4371 5076 5828 8059 8742 13113 16118 17484 24177 26226 32236 39339 48354 52452 72531 78678 96708 145062 157356 217593 249829 290124 378773 435186 499658 749487 757546 870372 999316 1136319 1498974 1515092 2248461 2272638 2997948 3408957 4496922 4545276 6745383 6817914 8993844 10226871 11741963 13490766 13635828 20453742 23483926 26981532 35225889 40907484 46967852 70451778 105677667 140903556 211355334 317033001 422710668 634066002 1268132004