Search a number
-
+
148027264 = 2771123653
BaseRepresentation
bin10001101001010…
…11011110000000
3101022112120020021
420310223132000
5300343333024
622404423224
73445132240
oct1064533600
9338476207
10148027264
1176615090
12416a7b14
132488acc8
1415933b20
15cedede4
hex8d2b780

148027264 has 128 divisors (see below), whose sum is σ = 384238080. Its totient is φ = 55080960.

The previous prime is 148027259. The next prime is 148027349. The reversal of 148027264 is 462720841.

It is a happy number.

148027264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226362 + ... + 227014.

It is an arithmetic number, because the mean of its divisors is an integer number (3001860).

Almost surely, 2148027264 is an apocalyptic number.

148027264 is a gapful number since it is divisible by the number (14) 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 148027264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192119040).

148027264 is an abundant number, since it is smaller than the sum of its proper divisors (236210816).

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

148027264 is a wasteful number, since it uses less digits than its factorization.

148027264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 148027264 is about 12166.6455524931. The cubic root of 148027264 is about 528.9897261093.

The spelling of 148027264 in words is "one hundred forty-eight million, twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 64 77 88 92 112 128 154 161 176 184 224 253 308 322 352 368 448 506 616 644 653 704 736 896 1012 1232 1288 1306 1408 1472 1771 2024 2464 2576 2612 2944 3542 4048 4571 4928 5152 5224 7084 7183 8096 9142 9856 10304 10448 14168 14366 15019 16192 18284 20608 20896 28336 28732 30038 32384 36568 41792 50281 56672 57464 60076 73136 83584 100562 105133 113344 114928 120152 146272 165209 201124 210266 226688 229856 240304 292544 330418 402248 420532 459712 480608 585088 660836 804496 841064 919424 961216 1156463 1321672 1608992 1682128 1922432 2312926 2643344 3217984 3364256 4625852 5286688 6435968 6728512 9251704 10573376 13457024 18503408 21146752 37006816 74013632 148027264