Search a number
-
+
2074113552 = 243727271213
BaseRepresentation
bin111101110100000…
…0111011000010000
312100112210212220110
41323220013120100
513221433113202
6541451241320
7102253450200
oct17350073020
95315725813
102074113552
11974868235
1249a749240
13270926334
1415966c400
15c215226c
hex7ba07610

2074113552 has 120 divisors (see below), whose sum is σ = 6246641856. Its totient is φ = 591300864.

The previous prime is 2074113541. The next prime is 2074113649. The reversal of 2074113552 is 2553114702.

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, 1709298 + ... + 1710510.

Almost surely, 22074113552 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 2074113552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123320928).

2074113552 is an abundant number, since it is smaller than the sum of its proper divisors (4172528304).

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

2074113552 is a wasteful number, since it uses less digits than its factorization.

2074113552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 2074113552 is about 45542.4368254489. The cubic root of 2074113552 is about 1275.2955464041.

The spelling of 2074113552 in words is "two billion, seventy-four million, one hundred thirteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 727 784 1176 1213 1454 2181 2352 2426 2908 3639 4362 4852 5089 5816 7278 8491 8724 9704 10178 11632 14556 15267 16982 17448 19408 20356 25473 29112 30534 33964 34896 35623 40712 50946 58224 59437 61068 67928 71246 81424 101892 106869 118874 122136 135856 142492 178311 203784 213738 237748 244272 284984 356622 407568 427476 475496 569968 713244 854952 881851 950992 1426488 1709904 1763702 2645553 2852976 3527404 5291106 6172957 7054808 10582212 12345914 14109616 18518871 21164424 24691828 37037742 42328848 43210699 49383656 74075484 86421398 98767312 129632097 148150968 172842796 259264194 296301936 345685592 518528388 691371184 1037056776 2074113552