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146040440 = 23571353757
BaseRepresentation
bin10001011010001…
…10011001111000
3101011210121211012
420231012121320
5244341243230
622254053052
73422215610
oct1055063170
9334717735
10146040440
1175488387
1240aaa188
1324343880
1415577a40
15cc4b395
hex8b46678

146040440 has 128 divisors (see below), whose sum is σ = 412594560. Its totient is φ = 45287424.

The previous prime is 146040383. The next prime is 146040469. The reversal of 146040440 is 44040641.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192542 + ... + 193298.

It is an arithmetic number, because the mean of its divisors is an integer number (3223395).

Almost surely, 2146040440 is an apocalyptic number.

146040440 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 146040440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206297280).

146040440 is an abundant number, since it is smaller than the sum of its proper divisors (266554120).

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

146040440 is a wasteful number, since it uses less digits than its factorization.

146040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 146040440 is about 12084.7192768388. The cubic root of 146040440 is about 526.6123553103.

The spelling of 146040440 in words is "one hundred forty-six million, forty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 53 56 65 70 91 104 106 130 140 182 212 260 265 280 364 371 424 455 520 530 689 728 742 757 910 1060 1378 1484 1514 1820 1855 2120 2756 2968 3028 3445 3640 3710 3785 4823 5299 5512 6056 6890 7420 7570 9646 9841 10598 13780 14840 15140 19292 19682 21196 24115 26495 27560 30280 38584 39364 40121 42392 48230 49205 52990 68887 78728 80242 96460 98410 105980 137774 160484 192920 196820 200605 211960 275548 280847 320968 344435 393640 401210 521573 551096 561694 688870 802420 1043146 1123388 1377740 1404235 1604840 2086292 2246776 2607865 2755480 2808470 3651011 4172584 5215730 5616940 7302022 10431460 11233880 14604044 18255055 20862920 29208088 36510110 73020220 146040440