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30146040 = 23335103271
BaseRepresentation
bin111001011111…
…1110111111000
32002201120121000
41302333313320
530204133130
62554045000
7514144221
oct162776770
962646530
1030146040
1116020191
12a119760
1363265c2
14400a248
1529a7260
hex1cbfdf8

30146040 has 128 divisors (see below), whose sum is σ = 101836800. Its totient is φ = 7931520.

The previous prime is 30145987. The next prime is 30146057. The reversal of 30146040 is 4064103.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 111105 + ... + 111375.

It is an arithmetic number, because the mean of its divisors is an integer number (795600).

Almost surely, 230146040 is an apocalyptic number.

30146040 is a gapful number since it is divisible by the number (30) 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 30146040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50918400).

30146040 is an abundant number, since it is smaller than the sum of its proper divisors (71690760).

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

30146040 is a wasteful number, since it uses less digits than its factorization.

30146040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30146040 is about 5490.5409569550. The cubic root of 30146040 is about 311.2266349132.

It can be divided in two parts, 30 and 146040, that added together give a triangular number (146070 = T540).

The spelling of 30146040 in words is "thirty million, one hundred forty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 103 108 120 135 180 206 216 270 271 309 360 412 515 540 542 618 813 824 927 1030 1080 1084 1236 1355 1545 1626 1854 2060 2168 2439 2472 2710 2781 3090 3252 3708 4065 4120 4635 4878 5420 5562 6180 6504 7317 7416 8130 9270 9756 10840 11124 12195 12360 13905 14634 16260 18540 19512 22248 24390 27810 27913 29268 32520 36585 37080 48780 55620 55826 58536 73170 83739 97560 111240 111652 139565 146340 167478 223304 251217 279130 292680 334956 418695 502434 558260 669912 753651 837390 1004868 1116520 1256085 1507302 1674780 2009736 2512170 3014604 3349560 3768255 5024340 6029208 7536510 10048680 15073020 30146040