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1397458620 = 2232544917291
BaseRepresentation
bin101001101001011…
…1000011010111100
310121101120020211200
41103102320122330
510330222133440
6350400215500
746426126245
oct12322703274
93541506750
101397458620
11657913388
1233000a590
1319369babc
14d384dccc
1582a41c30
hex534b86bc

1397458620 has 72 divisors (see below), whose sum is σ = 4248644400. Its totient is φ = 371804160.

The previous prime is 1397458609. The next prime is 1397458649. The reversal of 1397458620 is 268547931.

1397458620 is a `hidden beast` number, since 13 + 9 + 7 + 4 + 5 + 8 + 620 = 666.

1397458620 is digitally balanced in base 4 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It is a super-6 number, since 6×13974586206 (a number of 56 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

1397458620 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72175 + ... + 89465.

It is an arithmetic number, because the mean of its divisors is an integer number (59008950).

It is a 1-persistent number, because it is pandigital, but 2⋅1397458620 = 2794917240 is not.

It is a vampire number, since it can be written as 2694051873 (with its own digits).

Almost surely, 21397458620 is an apocalyptic number.

1397458620 is a gapful number since it is divisible by the number (10) 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 1397458620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124322200).

1397458620 is an abundant number, since it is smaller than the sum of its proper divisors (2851185780).

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

1397458620 is a wasteful number, since it uses less digits than its factorization.

1397458620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17755 (or 17750 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1397458620 is about 37382.5978230513. The cubic root of 1397458620 is about 1118.0116240526.

The spelling of 1397458620 in words is "one billion, three hundred ninety-seven million, four hundred fifty-eight thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 449 898 1347 1796 2245 2694 4041 4490 5388 6735 8082 8980 13470 16164 17291 20205 26940 34582 40410 51873 69164 80820 86455 103746 155619 172910 207492 259365 311238 345820 518730 622476 778095 1037460 1556190 3112380 7763659 15527318 23290977 31054636 38818295 46581954 69872931 77636590 93163908 116454885 139745862 155273180 232909770 279491724 349364655 465819540 698729310 1397458620