Search a number
-
+
2074711401 = 36722412
BaseRepresentation
bin111101110101001…
…1001010101101001
312100120221021000000
41323222121111221
513222111231101
6541512133213
7102261520200
oct17352312551
95316837000
102074711401
11975136424
1249a997209
13270aa54a9
14159786237
15c221e486
hex7ba99569

2074711401 has 63 divisors (see below), whose sum is σ = 3633581223. Its totient is φ = 1180630080.

The previous prime is 2074711393. The next prime is 2074711411. The reversal of 2074711401 is 1041174702.

The square root of 2074711401 is 45549.

It is a perfect power (a square), and thus also a powerful number.

2074711401 is a `hidden beast` number, since 207 + 47 + 11 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1560329001 + 514382400 = 39501^2 + 22680^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 2074711401 - 23 = 2074711393 is a prime.

It is a super-3 number, since 3×20747114013 (a number of 29 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2074711411) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 8608641 + ... + 8608881.

Almost surely, 22074711401 is an apocalyptic number.

2074711401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2074711401 is the 45549-th square number.

2074711401 is the 22775-th centered octagonal number.

It is an amenable number.

2074711401 is a deficient number, since it is larger than the sum of its proper divisors (1558869822).

2074711401 is an frugal number, since it uses more digits than its factorization.

2074711401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The cubic root of 2074711401 is about 1275.4180663633.

The spelling of 2074711401 in words is "two billion, seventy-four million, seven hundred eleven thousand, four hundred one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 241 243 441 567 723 729 1323 1687 1701 2169 3969 5061 5103 6507 11809 11907 15183 19521 35427 35721 45549 58081 58563 106281 136647 174243 175689 318843 406567 409941 522729 956529 1219701 1229823 1568187 2845969 2869587 3659103 4704561 8537907 8608761 10977309 14113683 25613721 32931927 42341049 76841163 98795781 230523489 296387343 691570467 2074711401