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2740032 = 26326771
BaseRepresentation
bin1010011100111101000000
312011012121200
422130331000
51200140112
6134421200
732201301
oct12347500
95135550
102740032
111601699
12b01800
1374c229
145147a8
15391cdc
hex29cf40

2740032 has 84 divisors (see below), whose sum is σ = 8083296. Its totient is φ = 887040.

The previous prime is 2740027. The next prime is 2740037. The reversal of 2740032 is 2300472.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2740027) and next prime (2740037).

It is a super-2 number, since 2×27400322 = 15015550722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2739987 and 2740014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2740037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38557 + ... + 38627.

22740032 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 2740032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041648).

2740032 is an abundant number, since it is smaller than the sum of its proper divisors (5343264).

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

2740032 is a wasteful number, since it uses less digits than its factorization.

2740032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2740032 is about 1655.3042016500. The cubic root of 2740032 is about 139.9324844524.

The spelling of 2740032 in words is "two million, seven hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 71 72 96 134 142 144 192 201 213 268 284 288 402 426 536 568 576 603 639 804 852 1072 1136 1206 1278 1608 1704 2144 2272 2412 2556 3216 3408 4288 4544 4757 4824 5112 6432 6816 9514 9648 10224 12864 13632 14271 19028 19296 20448 28542 38056 38592 40896 42813 57084 76112 85626 114168 152224 171252 228336 304448 342504 456672 685008 913344 1370016 2740032