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151301040 = 243511223257
BaseRepresentation
bin10010000010010…
…10101110110000
3101112200220000020
421001022232300
5302213113130
623002523440
73515015622
oct1101125660
9345626006
10151301040
1178450790
1242806580
1325466157
1416146c12
15d439e10
hex904abb0

151301040 has 160 divisors (see below), whose sum is σ = 515966976. Its totient is φ = 36372480.

The previous prime is 151301039. The next prime is 151301053. The reversal of 151301040 is 40103151.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588592 + ... + 588848.

Almost surely, 2151301040 is an apocalyptic number.

151301040 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 151301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257983488).

151301040 is an abundant number, since it is smaller than the sum of its proper divisors (364665936).

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

151301040 is a wasteful number, since it uses less digits than its factorization.

151301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 151301040 is about 12300.4487723010. The cubic root of 151301040 is about 532.8610436962.

Adding to 151301040 its reverse (40103151), we get a palindrome (191404191).

The spelling of 151301040 in words is "one hundred fifty-one million, three hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 223 240 257 264 330 440 446 514 528 660 669 771 880 892 1028 1115 1285 1320 1338 1542 1784 2056 2230 2453 2570 2640 2676 2827 3084 3345 3568 3855 4112 4460 4906 5140 5352 5654 6168 6690 7359 7710 8481 8920 9812 10280 10704 11308 12265 12336 13380 14135 14718 15420 16962 17840 19624 20560 22616 24530 26760 28270 29436 30840 33924 36795 39248 42405 45232 49060 53520 56540 57311 58872 61680 67848 73590 84810 98120 113080 114622 117744 135696 147180 169620 171933 196240 226160 229244 286555 294360 339240 343866 458488 573110 588720 630421 678480 687732 859665 916976 1146220 1260842 1375464 1719330 1891263 2292440 2521684 2750928 3152105 3438660 3782526 4584880 5043368 6304210 6877320 7565052 9456315 10086736 12608420 13754640 15130104 18912630 25216840 30260208 37825260 50433680 75650520 151301040