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402270 = 235112353
BaseRepresentation
bin1100010001101011110
3202102210220
41202031132
5100333040
612342210
73263541
oct1421536
9672726
10402270
11255260
12174966
1311113b
14a6858
157e2d0
hex6235e

402270 has 64 divisors (see below), whose sum is σ = 1119744. Its totient is φ = 91520.

The previous prime is 402263. The next prime is 402277. The reversal of 402270 is 72204.

402270 = T36 + T37 + ... + T134.

It is an interprime number because it is at equal distance from previous prime (402263) and next prime (402277).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a Curzon number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7564 + ... + 7616.

It is an arithmetic number, because the mean of its divisors is an integer number (17496).

2402270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559872).

402270 is an abundant number, since it is smaller than the sum of its proper divisors (717474).

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

402270 is a wasteful number, since it uses less digits than its factorization.

402270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97.

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 402270 is about 634.2475857266. The cubic root of 402270 is about 73.8197463337.

Adding to 402270 its reverse (72204), we get a palindrome (474474).

The spelling of 402270 in words is "four hundred two thousand, two hundred seventy", and thus it is an iban number.

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 53 55 66 69 106 110 115 138 159 165 230 253 265 318 330 345 506 530 583 690 759 795 1166 1219 1265 1518 1590 1749 2438 2530 2915 3498 3657 3795 5830 6095 7314 7590 8745 12190 13409 17490 18285 26818 36570 40227 67045 80454 134090 201135 402270