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151041408 = 273783677
BaseRepresentation
bin10010000000010…
…11010110000000
3101112012200212020
421000023112000
5302131311113
622553201440
73512554650
oct1100132600
9345180766
10151041408
1178293711
1242700280
13253a4c1b
14160ba360
15d3d8023
hex900b580

151041408 has 128 divisors (see below), whose sum is σ = 464728320. Its totient is φ = 42571776.

The previous prime is 151041403. The next prime is 151041421. The reversal of 151041408 is 804140151.

151041408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151041403) 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, 222766 + ... + 223442.

It is an arithmetic number, because the mean of its divisors is an integer number (3630690).

Almost surely, 2151041408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232364160).

151041408 is an abundant number, since it is smaller than the sum of its proper divisors (313686912).

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

151041408 is an equidigital number, since it uses as much as digits as its factorization.

151041408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 151041408 is about 12289.8904795771. The cubic root of 151041408 is about 532.5560733563.

Adding to 151041408 its reverse (804140151), we get a palindrome (955181559).

The spelling of 151041408 in words is "one hundred fifty-one million, forty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 83 84 96 112 128 166 168 192 224 249 332 336 384 448 498 581 664 672 677 896 996 1162 1328 1344 1354 1743 1992 2031 2324 2656 2688 2708 3486 3984 4062 4648 4739 5312 5416 6972 7968 8124 9296 9478 10624 10832 13944 14217 15936 16248 18592 18956 21664 27888 28434 31872 32496 37184 37912 43328 55776 56191 56868 64992 74368 75824 86656 111552 112382 113736 129984 151648 168573 223104 224764 227472 259968 303296 337146 393337 449528 454944 606592 674292 786674 899056 909888 1180011 1348584 1573348 1798112 1819776 2360022 2697168 3146696 3596224 4720044 5394336 6293392 7192448 9440088 10788672 12586784 18880176 21577344 25173568 37760352 50347136 75520704 151041408