Search a number
-
+
148954440 = 233523291861
BaseRepresentation
bin10001110000011…
…01110101001000
3101101021200002010
420320031311020
5301113020230
622440335520
73456043335
oct1070156510
9341250063
10148954440
1177098748
1241a745a0
1324b2402b
1415ad598c
15d1249b0
hex8e0dd48

148954440 has 128 divisors (see below), whose sum is σ = 482630400. Its totient is φ = 36664320.

The previous prime is 148954439. The next prime is 148954457. The reversal of 148954440 is 44459841.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79110 + ... + 80970.

It is an arithmetic number, because the mean of its divisors is an integer number (3770550).

Almost surely, 2148954440 is an apocalyptic number.

148954440 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 148954440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241315200).

148954440 is an abundant number, since it is smaller than the sum of its proper divisors (333675960).

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

148954440 is a wasteful number, since it uses less digits than its factorization.

148954440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 148954440 is about 12204.6892627383. The cubic root of 148954440 is about 530.0918791703.

The spelling of 148954440 in words is "one hundred forty-eight million, nine hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 29 30 40 46 58 60 69 87 92 115 116 120 138 145 174 184 230 232 276 290 345 348 435 460 552 580 667 690 696 870 920 1160 1334 1380 1740 1861 2001 2668 2760 3335 3480 3722 4002 5336 5583 6670 7444 8004 9305 10005 11166 13340 14888 16008 18610 20010 22332 26680 27915 37220 40020 42803 44664 53969 55830 74440 80040 85606 107938 111660 128409 161907 171212 214015 215876 223320 256818 269845 323814 342424 428030 431752 513636 539690 642045 647628 809535 856060 1027272 1079380 1241287 1284090 1295256 1619070 1712120 2158760 2482574 2568180 3238140 3723861 4965148 5136360 6206435 6476280 7447722 9930296 12412870 14895444 18619305 24825740 29790888 37238610 49651480 74477220 148954440