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7266420 = 2232577379
BaseRepresentation
bin11011101110000001110100
3111200011122200
4123232001310
53330011140
6415424500
7115522620
oct33560164
914604580
107266420
114113407
122525130
131675575
14d72180
15988030
hex6ee074

7266420 has 144 divisors (see below), whose sum is σ = 25858560. Its totient is φ = 1617408.

The previous prime is 7266419. The next prime is 7266421. The reversal of 7266420 is 246627.

7266420 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7266419) and next prime (7266421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7266421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91941 + ... + 92019.

Almost surely, 27266420 is an apocalyptic number.

7266420 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7266420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12929280).

7266420 is an abundant number, since it is smaller than the sum of its proper divisors (18592140).

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

7266420 is a wasteful number, since it uses less digits than its factorization.

7266420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 7266420 is about 2695.6297965411. The cubic root of 7266420 is about 193.6898363319.

The spelling of 7266420 in words is "seven million, two hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 73 79 84 90 105 126 140 146 158 180 210 219 237 252 292 315 316 365 395 420 438 474 511 553 630 657 711 730 790 876 948 1022 1095 1106 1185 1260 1314 1422 1460 1533 1580 1659 2044 2190 2212 2370 2555 2628 2765 2844 3066 3285 3318 3555 4380 4599 4740 4977 5110 5530 5767 6132 6570 6636 7110 7665 8295 9198 9954 10220 11060 11534 13140 14220 15330 16590 17301 18396 19908 22995 23068 24885 28835 30660 33180 34602 40369 45990 49770 51903 57670 69204 80738 86505 91980 99540 103806 115340 121107 161476 173010 201845 207612 242214 259515 346020 363321 403690 484428 519030 605535 726642 807380 1038060 1211070 1453284 1816605 2422140 3633210 7266420