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7023002420 = 2257226772
BaseRepresentation
bin1101000101001101…
…01000001100110100
3200010110000111011202
412202212220030310
5103340342034140
63120515152032
7336015351500
oct64246501464
920113014152
107023002420
112a84335735
12143bba5618
1387bccab45
144a8a27300
152b185e915
hex1a29a8334

7023002420 has 54 divisors (see below), whose sum is σ = 17162602758. Its totient is φ = 2406987072.

The previous prime is 7023002419. The next prime is 7023002431. The reversal of 7023002420 is 242003207.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 724040464 + 6298961956 = 26908^2 + 79366^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 7023002392 and 7023002401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2622122 + ... + 2624798.

It is an arithmetic number, because the mean of its divisors is an integer number (317825977).

Almost surely, 27023002420 is an apocalyptic number.

7023002420 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7023002420 is an abundant number, since it is smaller than the sum of its proper divisors (10139600338).

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

7023002420 is an equidigital number, since it uses as much as digits as its factorization.

7023002420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5377 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 7023002420 is about 83803.3556607371. The cubic root of 7023002420 is about 1915.0242273679.

Multiplying 7023002420 by its sum of digits (20), we get a square (140460048400 = 3747802).

7023002420 divided by its sum of digits (20) gives a square (351150121 = 187392).

Adding to 7023002420 its reverse (242003207), we get a palindrome (7265005627).

The spelling of 7023002420 in words is "seven billion, twenty-three million, two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 2677 5354 10708 13385 18739 26770 37478 53540 74956 93695 131173 187390 262346 374780 524692 655865 1311730 2623460 7166329 14332658 28665316 35831645 50164303 71663290 100328606 143326580 200657212 250821515 351150121 501643030 702300242 1003286060 1404600484 1755750605 3511501210 7023002420