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148869360 = 24335413
BaseRepresentation
bin10001101111110…
…01000011110000
3101101010100101000
420313321003300
5301102304420
622434442000
73455240313
oct1067710360
9341110330
10148869360
117703a832
1241a33300
1324ac43a3
1415ab297a
15d109690
hex8df90f0

148869360 has 160 divisors (see below), whose sum is σ = 525591360. Its totient is φ = 38730240.

The previous prime is 148869353. The next prime is 148869361. The reversal of 148869360 is 63968841.

148869360 is digitally balanced in base 2, 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).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148869361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3630940 + ... + 3630980.

It is an arithmetic number, because the mean of its divisors is an integer number (3284946).

Almost surely, 2148869360 is an apocalyptic number.

148869360 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 148869360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262795680).

148869360 is an abundant number, since it is smaller than the sum of its proper divisors (376722000).

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

148869360 is an frugal number, since it uses more digits than its factorization.

148869360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 148869360 is about 12201.2032193550. The cubic root of 148869360 is about 529.9909337478.

The spelling of 148869360 in words is "one hundred forty-eight million, eight hundred sixty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 41 45 48 54 60 72 80 82 90 108 120 123 135 144 164 180 205 216 240 246 270 328 360 369 410 432 492 540 615 656 720 738 820 984 1080 1107 1230 1476 1640 1681 1845 1968 2160 2214 2460 2952 3280 3362 3690 4428 4920 5043 5535 5904 6724 7380 8405 8856 9840 10086 11070 13448 14760 15129 16810 17712 20172 22140 25215 26896 29520 30258 33620 40344 44280 45387 50430 60516 67240 68921 75645 80688 88560 90774 100860 121032 134480 137842 151290 181548 201720 206763 226935 242064 275684 302580 344605 363096 403440 413526 453870 551368 605160 620289 689210 726192 827052 907740 1033815 1102736 1210320 1240578 1378420 1654104 1815480 1860867 2067630 2481156 2756840 3101445 3308208 3630960 3721734 4135260 4962312 5513680 6202890 7443468 8270520 9304335 9924624 12405780 14886936 16541040 18608670 24811560 29773872 37217340 49623120 74434680 148869360