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2106421548 = 22371119119983
BaseRepresentation
bin111110110001101…
…0111000100101100
312102210121022010220
41331203113010230
513303220442143
6545003531340
7103125200460
oct17543270454
95383538126
102106421548
11991024760
124a9529b50
132775289aa
1415da7c4a0
15c4dd4d83
hex7d8d712c

2106421548 has 96 divisors (see below), whose sum is σ = 6450339840. Its totient is φ = 518322240.

The previous prime is 2106421547. The next prime is 2106421549. The reversal of 2106421548 is 8451246012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2106421547) and next prime (2106421549).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2106421547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42436 + ... + 77547.

It is an arithmetic number, because the mean of its divisors is an integer number (67191040).

Almost surely, 22106421548 is an apocalyptic number.

2106421548 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2106421548 is an abundant number, since it is smaller than the sum of its proper divisors (4343918292).

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

2106421548 is a wasteful number, since it uses less digits than its factorization.

2106421548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120027 (or 120025 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2106421548 is about 45895.7683016637. The cubic root of 2106421548 is about 1281.8831225797.

The spelling of 2106421548 in words is "two billion, one hundred six million, four hundred twenty-one thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 132 133 154 209 228 231 266 308 399 418 462 532 627 798 836 924 1254 1463 1596 2508 2926 4389 5852 8778 17556 119983 239966 359949 479932 719898 839881 1319813 1439796 1679762 2279677 2519643 2639626 3359524 3959439 4559354 5039286 5279252 6839031 7918878 9118708 9238691 10078572 13678062 15837756 15957739 18477382 25076447 27356124 27716073 31915478 36954764 47873217 50152894 55432146 63830956 75229341 95746434 100305788 110864292 150458682 175535129 191492868 300917364 351070258 526605387 702140516 1053210774 2106421548