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148023760 = 24517313511
BaseRepresentation
bin10001101001010…
…10100111010000
3101022112101102111
420310222213100
5300343230020
622404355104
73445116103
oct1064524720
9338471374
10148023760
1176612495
12416a5a94
1324889531
141593273a
15ceddd5a
hex8d2a9d0

148023760 has 80 divisors (see below), whose sum is σ = 376261632. Its totient is φ = 53913600.

The previous prime is 148023731. The next prime is 148023773. The reversal of 148023760 is 67320841.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1480237602 = 43822067049075200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 40405 + ... + 43915.

Almost surely, 2148023760 is an apocalyptic number.

148023760 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 148023760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188130816).

148023760 is an abundant number, since it is smaller than the sum of its proper divisors (228237872).

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

148023760 is a wasteful number, since it uses less digits than its factorization.

148023760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3572 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 148023760 is about 12166.5015513910. The cubic root of 148023760 is about 528.9855521156.

The spelling of 148023760 in words is "one hundred forty-eight million, twenty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 248 272 310 340 496 527 620 680 1054 1240 1360 2108 2480 2635 3511 4216 5270 7022 8432 10540 14044 17555 21080 28088 35110 42160 56176 59687 70220 108841 119374 140440 217682 238748 280880 298435 435364 477496 544205 596870 870728 954992 1088410 1193740 1741456 1850297 2176820 2387480 3700594 4353640 4774960 7401188 8707280 9251485 14802376 18502970 29604752 37005940 74011880 148023760