Search a number
-
+
1370220072 = 2331329199761
BaseRepresentation
bin101000110101011…
…1110011000101000
310112111022101120120
41101222332120220
510301234020242
6343544323240
745645451464
oct12152763050
93474271516
101370220072
116434a9691
12322a73520
1318ab52a10
14cdd9d4a4
15804611ec
hex51abe628

1370220072 has 128 divisors (see below), whose sum is σ = 3840480000. Its totient is φ = 404490240.

The previous prime is 1370220053. The next prime is 1370220079. The reversal of 1370220072 is 2700220731.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1370220079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1800172 + ... + 1800932.

It is an arithmetic number, because the mean of its divisors is an integer number (30003750).

Almost surely, 21370220072 is an apocalyptic number.

1370220072 is a gapful number since it is divisible by the number (12) 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 1370220072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920240000).

1370220072 is an abundant number, since it is smaller than the sum of its proper divisors (2470259928).

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

1370220072 is a wasteful number, since it uses less digits than its factorization.

1370220072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 1370220072 is about 37016.4837876317. The cubic root of 1370220072 is about 1110.7000080944.

The spelling of 1370220072 in words is "one billion, three hundred seventy million, two hundred twenty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 199 232 312 348 377 398 597 696 754 761 796 1131 1194 1508 1522 1592 2262 2283 2388 2587 3016 3044 4524 4566 4776 5174 5771 6088 7761 9048 9132 9893 10348 11542 15522 17313 18264 19786 20696 22069 23084 29679 31044 34626 39572 44138 46168 59358 62088 66207 69252 75023 79144 88276 118716 132414 138504 150046 151439 176552 225069 237432 264828 286897 300092 302878 450138 454317 529656 573794 600184 605756 860691 900276 908634 1147588 1211512 1721382 1800552 1817268 1968707 2295176 3442764 3634536 3937414 4391731 5906121 6885528 7874828 8783462 11812242 13175193 15749656 17566924 23624484 26350386 35133848 47248968 52700772 57092503 105401544 114185006 171277509 228370012 342555018 456740024 685110036 1370220072