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148887540 = 223254717599
BaseRepresentation
bin10001101111111…
…01011111110100
3101101011021022100
420313331133310
5301103400130
622435102100
73455344314
oct1067753764
9341137270
10148887540
117705245a
1241a41930
1324acc749
1415ab9444
15d10ec60
hex8dfd7f4

148887540 has 72 divisors (see below), whose sum is σ = 461260800. Its totient is φ = 38856384.

The previous prime is 148887491. The next prime is 148887559. The reversal of 148887540 is 45788841.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340 + ... + 17259.

It is an arithmetic number, because the mean of its divisors is an integer number (6406400).

Almost surely, 2148887540 is an apocalyptic number.

148887540 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 148887540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230630400).

148887540 is an abundant number, since it is smaller than the sum of its proper divisors (312373260).

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

148887540 is a wasteful number, since it uses less digits than its factorization.

148887540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17661 (or 17656 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 148887540 is about 12201.9482051023. The cubic root of 148887540 is about 530.0125071215.

The spelling of 148887540 in words is "one hundred forty-eight million, eight hundred eighty-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 8460 17599 35198 52797 70396 87995 105594 158391 175990 211188 263985 316782 351980 527970 633564 791955 827153 1055940 1583910 1654306 2481459 3167820 3308612 4135765 4962918 7444377 8271530 9925836 12407295 14888754 16543060 24814590 29777508 37221885 49629180 74443770 148887540