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155023440 = 243511134517
BaseRepresentation
bin10010011110101…
…11100001010000
3101210201000011220
421033113201100
5304141222230
623214405040
73561451245
oct1117274120
9353630156
10155023440
117a563450
1243b00780
132616a560
14168355cc
15d922d10
hex93d7850

155023440 has 160 divisors (see below), whose sum is σ = 564713856. Its totient is φ = 34682880.

The previous prime is 155023417. The next prime is 155023441. The reversal of 155023440 is 44320551.

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

It is a self number, because there is not a number n which added to its sum of digits gives 155023440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155023441) by changing a digit.

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, 32062 + ... + 36578.

Almost surely, 2155023440 is an apocalyptic number.

155023440 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 155023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282356928).

155023440 is an abundant number, since it is smaller than the sum of its proper divisors (409690416).

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

155023440 is a wasteful number, since it uses less digits than its factorization.

155023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4557 (or 4551 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 155023440 is about 12450.8409354549. The cubic root of 155023440 is about 537.1956120446.

Adding to 155023440 its reverse (44320551), we get a palindrome (199343991).

The spelling of 155023440 in words is "one hundred fifty-five million, twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1320 1430 1560 1716 2145 2288 2640 2860 3120 3432 4290 4517 5720 6864 8580 9034 11440 13551 17160 18068 22585 27102 34320 36136 45170 49687 54204 58721 67755 72272 90340 99374 108408 117442 135510 149061 176163 180680 198748 216816 234884 248435 271020 293605 298122 352326 361360 397496 469768 496870 542040 587210 596244 645931 704652 745305 794992 880815 939536 993740 1084080 1174420 1192488 1291862 1409304 1490610 1761630 1937793 1987480 2348840 2384976 2583724 2818608 2981220 3229655 3523260 3875586 3974960 4697680 5167448 5962440 6459310 7046520 7751172 9688965 10334896 11924880 12918620 14093040 15502344 19377930 25837240 31004688 38755860 51674480 77511720 155023440