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420302250 = 2335371877
BaseRepresentation
bin11001000011010…
…100110110101010
31002021212120022000
4121003110312222
51330044133000
6105412311430
713262336664
oct3103246652
91067776260
10420302250
111a6282335
12b8912576
13690cc474
143db6b534
1526d74000
hex190d4daa

420302250 has 128 divisors (see below), whose sum is σ = 1183403520. Its totient is φ = 110376000.

The previous prime is 420302231. The next prime is 420302263. The reversal of 420302250 is 52203024.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 478812 + ... + 479688.

It is an arithmetic number, because the mean of its divisors is an integer number (9245340).

Almost surely, 2420302250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420302250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591701760).

420302250 is an abundant number, since it is smaller than the sum of its proper divisors (763101270).

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

420302250 is a wasteful number, since it uses less digits than its factorization.

420302250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 420302250 is about 20501.2743506349. The cubic root of 420302250 is about 749.0668394300.

Adding to 420302250 its reverse (52203024), we get a palindrome (472505274).

The spelling of 420302250 in words is "four hundred twenty million, three hundred two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 71 75 90 125 135 142 150 213 225 250 270 355 375 426 450 639 675 710 750 877 1065 1125 1278 1350 1754 1775 1917 2130 2250 2631 3195 3375 3550 3834 4385 5262 5325 6390 6750 7893 8770 8875 9585 10650 13155 15786 15975 17750 19170 21925 23679 26310 26625 31950 39465 43850 47358 47925 53250 62267 65775 78930 79875 95850 109625 118395 124534 131550 159750 186801 197325 219250 236790 239625 311335 328875 373602 394650 479250 560403 591975 622670 657750 934005 986625 1120806 1183950 1556675 1681209 1868010 1973250 2802015 2959875 3113350 3362418 4670025 5604030 5919750 7783375 8406045 9340050 14010075 15566750 16812090 23350125 28020150 42030225 46700250 70050375 84060450 140100750 210151125 420302250