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155461440 = 2635672417
BaseRepresentation
bin10010100010000…
…10011101000000
3101211112021000010
421101002131000
5304244231230
623232024520
73565254231
oct1121023500
9354467003
10155461440
117a832532
1244092140
1326291a24
141690b088
15d9ac9b0
hex9442740

155461440 has 112 divisors (see below), whose sum is σ = 501164352. Its totient is φ = 40820736.

The previous prime is 155461429. The next prime is 155461441. The reversal of 155461440 is 44164551.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 155461398 and 155461407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155461441) 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, 63112 + ... + 65528.

Almost surely, 2155461440 is an apocalyptic number.

155461440 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 155461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250582176).

155461440 is an abundant number, since it is smaller than the sum of its proper divisors (345702912).

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

155461440 is a wasteful number, since it uses less digits than its factorization.

155461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 155461440 is about 12468.4177023390. The cubic root of 155461440 is about 537.7010634120.

The spelling of 155461440 in words is "one hundred fifty-five million, four hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 134 160 192 201 240 268 320 335 402 480 536 670 804 960 1005 1072 1340 1608 2010 2144 2417 2680 3216 4020 4288 4834 5360 6432 7251 8040 9668 10720 12085 12864 14502 16080 19336 21440 24170 29004 32160 36255 38672 48340 58008 64320 72510 77344 96680 116016 145020 154688 161939 193360 232032 290040 323878 386720 464064 485817 580080 647756 773440 809695 971634 1160160 1295512 1619390 1943268 2320320 2429085 2591024 3238780 3886536 4858170 5182048 6477560 7773072 9716340 10364096 12955120 15546144 19432680 25910240 31092288 38865360 51820480 77730720 155461440