Search a number
-
+
274990144 = 26111330047
BaseRepresentation
bin10000011001000…
…000010001000000
3201011102221120011
4100121000101000
51030344141034
643141554304
76546243352
oct2031002100
9634387504
10274990144
11131252190
1278115994
1344c82280
14287430d2
151921d864
hex10640440

274990144 has 56 divisors (see below), whose sum is σ = 641104128. Its totient is φ = 115376640.

The previous prime is 274990141. The next prime is 274990159. The reversal of 274990144 is 441099472.

It is a junction number, because it is equal to n+sod(n) for n = 274990097 and 274990106.

It is not an unprimeable number, because it can be changed into a prime (274990141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5872 + ... + 24175.

It is an arithmetic number, because the mean of its divisors is an integer number (11448288).

Almost surely, 2274990144 is an apocalyptic number.

It is an amenable number.

274990144 is an abundant number, since it is smaller than the sum of its proper divisors (366113984).

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

274990144 is a wasteful number, since it uses less digits than its factorization.

274990144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30083 (or 30073 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 274990144 is about 16582.8267795331. The cubic root of 274990144 is about 650.2879544666.

The spelling of 274990144 in words is "two hundred seventy-four million, nine hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 2288 4576 9152 30047 60094 120188 240376 330517 390611 480752 661034 781222 961504 1322068 1562444 1923008 2644136 3124888 4296721 5288272 6249776 8593442 10576544 12499552 17186884 21153088 24999104 34373768 68747536 137495072 274990144