Search a number
-
+
148211140 = 225711157613
BaseRepresentation
bin10001101010110…
…00010111000100
3101022212220110111
420311120113010
5300420224030
622412402404
73446526310
oct1065302704
9338786414
10148211140
1176730250
1241776404
13249238cc
1415980b40
15d02962a
hex8d585c4

148211140 has 96 divisors (see below), whose sum is σ = 391152384. Its totient is φ = 45826560.

The previous prime is 148211111. The next prime is 148211143. The reversal of 148211140 is 41112841.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (148211143) 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, 241474 + ... + 242086.

It is an arithmetic number, because the mean of its divisors is an integer number (4074504).

Almost surely, 2148211140 is an apocalyptic number.

148211140 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 148211140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195576192).

148211140 is an abundant number, since it is smaller than the sum of its proper divisors (242941244).

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

148211140 is a wasteful number, since it uses less digits than its factorization.

148211140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 148211140 is about 12174.1997683626. The cubic root of 148211140 is about 529.2086683617.

Adding to 148211140 its reverse (41112841), we get a palindrome (189323981).

The spelling of 148211140 in words is "one hundred forty-eight million, two hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 157 220 308 314 385 613 628 770 785 1099 1226 1540 1570 1727 2198 2452 3065 3140 3454 4291 4396 5495 6130 6743 6908 8582 8635 10990 12089 12260 13486 17164 17270 21455 21980 24178 26972 33715 34540 42910 47201 48356 60445 67430 85820 94402 96241 120890 134860 188804 192482 236005 241780 384964 472010 481205 673687 944020 962410 1058651 1347374 1924820 2117302 2694748 3368435 4234604 5293255 6736870 7410557 10586510 13473740 14821114 21173020 29642228 37052785 74105570 148211140