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6120250400 = 2552114116963
BaseRepresentation
bin1011011001100101…
…11001110000100000
3120210112022221012202
411230302321300200
5100013241003100
62451150112332
7304444161425
oct55462716040
916715287182
106120250400
1126607a3790
1212297ab6a8
13766c7c954
14420b91d4c
1525c48c7d5
hex16ccb9c20

6120250400 has 144 divisors (see below), whose sum is σ = 16697868768. Its totient is φ = 2171136000.

The previous prime is 6120250399. The next prime is 6120250453. The reversal of 6120250400 is 40520216.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 352319 + ... + 369281.

It is an arithmetic number, because the mean of its divisors is an integer number (115957422).

Almost surely, 26120250400 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 6120250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8348934384).

6120250400 is an abundant number, since it is smaller than the sum of its proper divisors (10577618368).

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

6120250400 is a wasteful number, since it uses less digits than its factorization.

6120250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17035 (or 17022 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 6120250400 is about 78232.0292463387. The cubic root of 6120250400 is about 1829.1798010575.

Adding to 6120250400 its reverse (40520216), we get a palindrome (6160770616).

The spelling of 6120250400 in words is "six billion, one hundred twenty million, two hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 41 44 50 55 80 82 88 100 110 160 164 176 200 205 220 275 328 352 400 410 440 451 550 656 800 820 880 902 1025 1100 1312 1640 1760 1804 2050 2200 2255 3280 3608 4100 4400 4510 6560 7216 8200 8800 9020 11275 14432 16400 16963 18040 22550 32800 33926 36080 45100 67852 72160 84815 90200 135704 169630 180400 186593 271408 339260 360800 373186 424075 542816 678520 695483 746372 848150 932965 1357040 1390966 1492744 1696300 1865930 2714080 2781932 2985488 3392600 3477415 3731860 4664825 5563864 5970976 6785200 6954830 7463720 7650313 9329650 11127728 13570400 13909660 14927440 15300626 17387075 18659300 22255456 27819320 29854880 30601252 34774150 37318600 38251565 55638640 61202504 69548300 74637200 76503130 111277280 122405008 139096600 149274400 153006260 191257825 244810016 278193200 306012520 382515650 556386400 612025040 765031300 1224050080 1530062600 3060125200 6120250400