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2148567390 = 233567731627
BaseRepresentation
bin1000000000010000…
…1000100101011110
312112201220112101000
42000010020211132
513400013124030
6553111131130
7104146343604
oct20004104536
95481815330
102148567390
11a028a0532
124bb673aa6
13283194168
141654cd874
15c895c860
hex8010895e

2148567390 has 128 divisors (see below), whose sum is σ = 5898309120. Its totient is φ = 556326144.

The previous prime is 2148567361. The next prime is 2148567431. The reversal of 2148567390 is 937658412.

2148567390 is a `hidden beast` number, since 21 + 485 + 67 + 3 + 90 = 666.

2148567390 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

2148567390 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 63 ways as a sum of consecutive naturals, for example, 1319757 + ... + 1321383.

It is an arithmetic number, because the mean of its divisors is an integer number (46080540).

It is a 1-persistent number, because it is pandigital, but 2⋅2148567390 = 4297134780 is not.

Almost surely, 22148567390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148567390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949154560).

2148567390 is an abundant number, since it is smaller than the sum of its proper divisors (3749741730).

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

2148567390 is a wasteful number, since it uses less digits than its factorization.

2148567390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1777 counting only the distinct ones).

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

The square root of 2148567390 is about 46352.6416722931. The cubic root of 2148567390 is about 1290.3761477458.

The spelling of 2148567390 in words is "two billion, one hundred forty-eight million, five hundred sixty-seven thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 73 90 134 135 146 201 219 270 335 365 402 438 603 657 670 730 1005 1095 1206 1314 1627 1809 1971 2010 2190 3015 3254 3285 3618 3942 4881 4891 6030 6570 8135 9045 9762 9782 9855 14643 14673 16270 18090 19710 24405 24455 29286 29346 43929 44019 48810 48910 73215 73365 87858 88038 109009 118771 132057 146430 146730 218018 219645 220095 237542 264114 327027 356313 439290 440190 545045 593855 654054 660285 712626 981081 1068939 1090090 1187710 1320570 1635135 1781565 1962162 2137878 2943243 3206817 3270270 3563130 4905405 5344695 5886486 6413634 7957657 9810810 10689390 14716215 15915314 16034085 23872971 29432430 32068170 39788285 47745942 71618913 79576570 119364855 143237826 214856739 238729710 358094565 429713478 716189130 1074283695 2148567390