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5435430 = 23571113181
BaseRepresentation
bin10100101111000000100110
3101020011000020
4110233000212
52342413210
6312300010
764125510
oct24570046
911204006
105435430
1130827a0
1219a1606
131184040
14a16bb0
15725770
hex52f026

5435430 has 128 divisors (see below), whose sum is σ = 17611776. Its totient is φ = 1036800.

The previous prime is 5435401. The next prime is 5435431. The reversal of 5435430 is 345345.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5435430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5435431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29940 + ... + 30120.

It is an arithmetic number, because the mean of its divisors is an integer number (137592).

Almost surely, 25435430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5435430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805888).

5435430 is an abundant number, since it is smaller than the sum of its proper divisors (12176346).

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

5435430 is a wasteful number, since it uses less digits than its factorization.

5435430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222.

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 5435430 is about 2331.4008664320. The cubic root of 5435430 is about 175.8239242861.

The spelling of 5435430 in words is "five million, four hundred thirty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 91 105 110 130 143 154 165 181 182 195 210 231 273 286 330 362 385 390 429 455 462 543 546 715 770 858 905 910 1001 1086 1155 1267 1365 1430 1810 1991 2002 2145 2310 2353 2534 2715 2730 3003 3801 3982 4290 4706 5005 5430 5973 6006 6335 7059 7602 9955 10010 11765 11946 12670 13937 14118 15015 16471 19005 19910 23530 25883 27874 29865 30030 32942 35295 38010 41811 49413 51766 59730 69685 70590 77649 82355 83622 98826 129415 139370 155298 164710 181181 209055 247065 258830 362362 388245 418110 494130 543543 776490 905905 1087086 1811810 2717715 5435430