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151351040 = 285235397
BaseRepresentation
bin10010000010101…
…10111100000000
3101112210102121002
421001112330000
5302221213130
623003551132
73515314451
oct1101267400
9345712532
10151351040
1178485305
124282b4a8
1325482b39
141615b128
15d449b45
hex9056f00

151351040 has 144 divisors (see below), whose sum is σ = 389406528. Its totient is φ = 56229888.

The previous prime is 151351019. The next prime is 151351043. The reversal of 151351040 is 40153151.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151351043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1560272 + ... + 1560368.

It is an arithmetic number, because the mean of its divisors is an integer number (2704212).

Almost surely, 2151351040 is an apocalyptic number.

151351040 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 151351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194703264).

151351040 is an abundant number, since it is smaller than the sum of its proper divisors (238055488).

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

151351040 is an equidigital number, since it uses as much as digits as its factorization.

151351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 151351040 is about 12302.4810505849. The cubic root of 151351040 is about 532.9197348941.

The spelling of 151351040 in words is "one hundred fifty-one million, three hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 53 64 80 92 97 106 115 128 160 184 194 212 230 256 265 320 368 388 424 460 485 530 640 736 776 848 920 970 1060 1219 1280 1472 1552 1696 1840 1940 2120 2231 2438 2944 3104 3392 3680 3880 4240 4462 4876 5141 5888 6095 6208 6784 7360 7760 8480 8924 9752 10282 11155 12190 12416 13568 14720 15520 16960 17848 19504 20564 22310 24380 24832 25705 29440 31040 33920 35696 39008 41128 44620 48760 51410 62080 67840 71392 78016 82256 89240 97520 102820 118243 124160 142784 156032 164512 178480 195040 205640 236486 285568 312064 329024 356960 390080 411280 472972 571136 591215 658048 713920 780160 822560 945944 1182430 1316096 1427840 1560320 1645120 1891888 2364860 2855680 3290240 3783776 4729720 6580480 7567552 9459440 15135104 18918880 30270208 37837760 75675520 151351040