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414254130 = 235172293547
BaseRepresentation
bin11000101100010…
…000010000110010
31001212111021211120
4120230100100302
51322022113010
6105034523110
713160046663
oct3054202062
91055437746
10414254130
111a2921294
12b6896496
1367a925b4
143d03536a
152657be70
hex18b10432

414254130 has 64 divisors (see below), whose sum is σ = 1057587840. Its totient is φ = 103486464.

The previous prime is 414254107. The next prime is 414254153. The reversal of 414254130 is 31452414.

It is an interprime number because it is at equal distance from previous prime (414254107) and next prime (414254153).

It is a self number, because there is not a number n which added to its sum of digits gives 414254130.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115017 + ... + 118563.

It is an arithmetic number, because the mean of its divisors is an integer number (16524810).

Almost surely, 2414254130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414254130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528793920).

414254130 is an abundant number, since it is smaller than the sum of its proper divisors (643333710).

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

414254130 is a wasteful number, since it uses less digits than its factorization.

414254130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3803.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 414254130 is about 20353.2338953789. The cubic root of 414254130 is about 745.4564594573.

The spelling of 414254130 in words is "four hundred fourteen million, two hundred fifty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 229 255 458 510 687 1145 1374 2290 3435 3547 3893 6870 7094 7786 10641 11679 17735 19465 21282 23358 35470 38930 53205 58395 60299 106410 116790 120598 180897 301495 361794 602990 812263 904485 1624526 1808970 2436789 4061315 4873578 8122630 12183945 13808471 24367890 27616942 41425413 69042355 82850826 138084710 207127065 414254130