Search a number
-
+
1375435404 = 22357316521
BaseRepresentation
bin101000111111011…
…0111101010001100
310112212010100200000
41101332313222030
510304102413104
6344252204300
746041002520
oct12176675214
93485110600
101375435404
11646440a82
12324769690
1318bc5a805
14d0959d80
1580b41639
hex51fb7a8c

1375435404 has 144 divisors (see below), whose sum is σ = 4254222336. Its totient is φ = 380246400.

The previous prime is 1375435393. The next prime is 1375435409. The reversal of 1375435404 is 4045345731.

1375435404 is a `hidden beast` number, since 1 + 3 + 75 + 43 + 540 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1375435409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207664 + ... + 214184.

Almost surely, 21375435404 is an apocalyptic number.

1375435404 is a gapful number since it is divisible by the number (14) 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 1375435404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127111168).

1375435404 is an abundant number, since it is smaller than the sum of its proper divisors (2878786932).

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

1375435404 is a wasteful number, since it uses less digits than its factorization.

1375435404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6578 (or 6564 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 1375435404 is about 37086.8629571173. The cubic root of 1375435404 is about 1112.1074062102.

The spelling of 1375435404 in words is "one billion, three hundred seventy-five million, four hundred thirty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 81 84 93 108 124 126 162 186 189 217 243 252 279 324 372 378 434 486 558 567 651 756 837 868 972 1116 1134 1302 1674 1701 1953 2268 2511 2604 3348 3402 3906 5022 5859 6521 6804 7533 7812 10044 11718 13042 15066 17577 19563 23436 26084 30132 35154 39126 45647 52731 58689 70308 78252 91294 105462 117378 136941 176067 182588 202151 210924 234756 273882 352134 404302 410823 528201 547764 606453 704268 808604 821646 1056402 1212906 1232469 1415057 1584603 1643292 1819359 2112804 2425812 2464938 2830114 3169206 3638718 3697407 4245171 4929876 5458077 5660228 6338412 7277436 7394814 8490342 10916154 11092221 12735513 14789628 16374231 16980684 21832308 22184442 25471026 32748462 38206539 44368884 49122693 50942052 65496924 76413078 98245386 114619617 152826156 196490772 229239234 343858851 458478468 687717702 1375435404