Search a number
-
+
148579920 = 243557643
BaseRepresentation
bin10001101101100…
…10011001010000
3101100120122100000
420312302121100
5301014024140
622424330000
73452623416
oct1066623120
9340518300
10148579920
1176962325
1241913900
1324a22718
1415a392b6
15d09da30
hex8db2650

148579920 has 120 divisors (see below), whose sum is σ = 517529376. Its totient is φ = 39616128.

The previous prime is 148579913. The next prime is 148579927. The reversal of 148579920 is 29975841.

It is an interprime number because it is at equal distance from previous prime (148579913) and next prime (148579927).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148579927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15619 + ... + 23261.

Almost surely, 2148579920 is an apocalyptic number.

148579920 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 148579920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258764688).

148579920 is an abundant number, since it is smaller than the sum of its proper divisors (368949456).

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

148579920 is an equidigital number, since it uses as much as digits as its factorization.

148579920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7671 (or 7653 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 148579920 is about 12189.3363231966. The cubic root of 148579920 is about 529.6472317262.

The spelling of 148579920 in words is "one hundred forty-eight million, five hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 7643 9720 15286 19440 22929 30572 38215 45858 61144 68787 76430 91716 114645 122288 137574 152860 183432 206361 229290 275148 305720 343935 366864 412722 458580 550296 611440 619083 687870 825444 917160 1031805 1100592 1238166 1375740 1650888 1834320 1857249 2063610 2476332 2751480 3095415 3301776 3714498 4127220 4952664 5502960 6190830 7428996 8254440 9286245 9905328 12381660 14857992 16508880 18572490 24763320 29715984 37144980 49526640 74289960 148579920