Search a number
-
+
1604770056 = 2335312859
BaseRepresentation
bin101111110100110…
…1101100100001000
311010211122202200000
41133221231210020
511241310120211
6423123443000
754524214621
oct13751554410
94124582600
101604770056
1175393a54a
12389526460
131c7615ca6
141131b6a48
1595d42656
hex5fa6d908

1604770056 has 144 divisors (see below), whose sum is σ = 4662730800. Its totient is φ = 517065120.

The previous prime is 1604770033. The next prime is 1604770061. The reversal of 1604770056 is 6500774061.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1604770056.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1867755 + ... + 1868613.

It is an arithmetic number, because the mean of its divisors is an integer number (32380075).

Almost surely, 21604770056 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 1604770056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331365400).

1604770056 is an abundant number, since it is smaller than the sum of its proper divisors (3057960744).

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

1604770056 is an equidigital number, since it uses as much as digits as its factorization.

1604770056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 1604770056 is about 40059.5813258202. The cubic root of 1604770056 is about 1170.7682528310.

The spelling of 1604770056 in words is "one billion, six hundred four million, seven hundred seventy thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 243 248 279 324 372 486 558 648 744 837 859 961 972 1116 1674 1718 1922 1944 2232 2511 2577 2883 3348 3436 3844 5022 5154 5766 6696 6872 7533 7688 7731 8649 10044 10308 11532 15066 15462 17298 20088 20616 23064 23193 25947 26629 30132 30924 34596 46386 51894 53258 60264 61848 69192 69579 77841 79887 92772 103788 106516 139158 155682 159774 185544 207576 208737 213032 233523 239661 278316 311364 319548 417474 467046 479322 556632 622728 639096 718983 825499 834948 934092 958644 1437966 1650998 1669896 1868184 1917288 2156949 2476497 2875932 3301996 4313898 4952994 5751864 6470847 6603992 7429491 8627796 9905988 12941694 14858982 17255592 19811976 22288473 25883388 29717964 44576946 51766776 59435928 66865419 89153892 133730838 178307784 200596257 267461676 401192514 534923352 802385028 1604770056