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148035420 = 2232513411543
BaseRepresentation
bin10001101001011…
…01011101011100
3101022112222102100
420310231131130
5300344113140
622404525100
73445165101
oct1064553534
9338488370
10148035420
1176620225
12416b0790
1324891930
1415936aa8
15cee2530
hex8d2d75c

148035420 has 144 divisors (see below), whose sum is σ = 495698112. Its totient is φ = 35527680.

The previous prime is 148035389. The next prime is 148035421. The reversal of 148035420 is 24530841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148035421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95169 + ... + 96711.

It is an arithmetic number, because the mean of its divisors is an integer number (3442348).

Almost surely, 2148035420 is an apocalyptic number.

148035420 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 148035420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247849056).

148035420 is an abundant number, since it is smaller than the sum of its proper divisors (347662692).

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

148035420 is a wasteful number, since it uses less digits than its factorization.

148035420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 148035420 is about 12166.9807265402. The cubic root of 148035420 is about 528.9994413488. Note that the first 3 decimals are identical.

The spelling of 148035420 in words is "one hundred forty-eight million, thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 41 45 52 60 65 78 82 90 117 123 130 156 164 180 195 205 234 246 260 369 390 410 468 492 533 585 615 738 780 820 1066 1170 1230 1476 1543 1599 1845 2132 2340 2460 2665 3086 3198 3690 4629 4797 5330 6172 6396 7380 7715 7995 9258 9594 10660 13887 15430 15990 18516 19188 20059 23145 23985 27774 30860 31980 40118 46290 47970 55548 60177 63263 69435 80236 92580 95940 100295 120354 126526 138870 180531 189789 200590 240708 253052 277740 300885 316315 361062 379578 401180 569367 601770 632630 722124 759156 822419 902655 948945 1138734 1203540 1265260 1644838 1805310 1897890 2277468 2467257 2846835 3289676 3610620 3795780 4112095 4934514 5693670 7401771 8224190 9869028 11387340 12336285 14803542 16448380 24672570 29607084 37008855 49345140 74017710 148035420