Search a number
-
+
1379145420 = 223356738119
BaseRepresentation
bin101001000110100…
…0001011011001100
310120010002211212000
41102031001123030
510311030123140
6344503512300
746114354062
oct12215013314
93503084760
101379145420
11648545404
12325a58690
1318c9593a3
14d1244032
1581125a30
hex523416cc

1379145420 has 96 divisors (see below), whose sum is σ = 4354828800. Its totient is φ = 362273472.

The previous prime is 1379145409. The next prime is 1379145461. The reversal of 1379145420 is 245419731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17121 + ... + 55239.

It is an arithmetic number, because the mean of its divisors is an integer number (45362800).

Almost surely, 21379145420 is an apocalyptic number.

1379145420 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 1379145420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177414400).

1379145420 is an abundant number, since it is smaller than the sum of its proper divisors (2975683380).

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

1379145420 is a wasteful number, since it uses less digits than its factorization.

1379145420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38204 (or 38196 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1379145420 is about 37136.8472005904. The cubic root of 1379145420 is about 1113.1064188682.

The spelling of 1379145420 in words is "one billion, three hundred seventy-nine million, one hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 90 108 134 135 180 201 268 270 335 402 540 603 670 804 1005 1206 1340 1809 2010 2412 3015 3618 4020 6030 7236 9045 12060 18090 36180 38119 76238 114357 152476 190595 228714 343071 381190 457428 571785 686142 762380 1029213 1143570 1372284 1715355 2058426 2287140 2553973 3430710 4116852 5107946 5146065 6861420 7661919 10215892 10292130 12769865 15323838 20584260 22985757 25539730 30647676 38309595 45971514 51079460 68957271 76619190 91943028 114928785 137914542 153238380 229857570 275829084 344786355 459715140 689572710 1379145420